"Supercomputer" is a very vague name for a very powerful computer. If there were a more powerful type of computer than the ones you're thinking of, it would instantly be called a supercomputer.
Well first you have to look at what type of power do you want. There are different types of operating environments and therfore different requirements for "Powerful" I'll Break down a quick list of the most common real quick.
Consumer PC (Gaming rig)Right now pre-built dream systems are running what they have always ran: $5,000-10,000 these are high preformance gameing rigs capable of putting the current generation video game consoles to shame (XBOX-360, PlayStation 3, Nintendo Wii)
and they would include (rough and quick)
-Current generation of multi-core processors (haven't checked in a couple of weeks but it was the phenom at 4 cores at the time)
-Motherboard that supports all the new tech 3 PCIe x16 True Slots
6 DIMM slots supporting the fastest current DDR3 (what are you guys up to now 1.5Ghz?)
-PCI-Express Sound Card 8.1 surround sound.
-8.1 Surround sound speakers
-3 Current Generation NVIDIA Video Cards (or 2 Double Slot Cards [for a total of four] and a phys x card (laugh I know)
and then all the mundane but just as important stuff (Case, Cooling, Power Supply, Multi-Layer Blu-Ray Burners ect)
But in reality once you move away from the "Home Computer" Computers become somewhat of an amazing thing for example
the Earth Simulator cost $400,000,000, and the 640 processor node supercomputer was benchmarked with Linpack as having 35.86 TFlop/s performance, that is raw number crunching so now were talking the difference of a super supped up Mustang to a Saturn v Rocket Engine,
but it gets better:
IBM's BlueGene/L machine is both the fastest and most expensive supercomputer ever built in the United States. It was built at the US Department of Energy's Lawrence Livermore National Laboratory in California. The supercomputer is built from 64 racks of Blue Gene servers, each of which contains 1,024 700MHz dual-core PowerPC processors.
Specifications listed on LLNL's website about their BlueGene/L system
are as follows:
BlueGene/L currently tops the TOP500 Supercomputers list with a Linpack performance benchmark of 280.6 TFlop/s.
So the Earth Simulator had a benchmark of 35.86 TFlop/s performance and cost 400,000,000
IBM sells a single 1,024 processor BlueGene rack for approximately $2,000,000. The BlueGene/L supercomputer was built by IBM for the DoE along with the ASCI Purple supercomputer that benchmarks at 63.39 TFlop/s as part of a $290,000,000 contract
So Japan Go Ripped off as IBM's freebee was faster than the earth simulator at half the price but still at the time (both months) they enjoyed the #1 spot as most powerful computer.
Supercomputer
Supercomputer, to classify as such a system must have at least 10 times the performance of the highest performance conventional computers.
NORAD Supercomputer
They are fast, but a supercomputer is faster.
Talking biologically or technologically? MOST POWERFUL: Biologically, our brains are the most powerful "computer" in the world. It is highly developed and advanced. Technologically, there isn't a certain "most powerful" computer/laptop in the world. Companies like Dell, HP, or etc. are always coming out with new technology, so, who knows? LEAST POWERFUL: The least powerful? Well, probably the first computers every invented. At the time, they were considered powerful and useful, but now, since technology has improved so much, they are now considered useless. As for the most widely used type of computer...GOOGLE the statistics of the use of different types of computers.
supercomputer is probably what you are looking for.
These days, a large business computer with most of the space filled with disk drives, or a multiprocessor supercomputer with a billion or more CPUs,
the most powerful computers are called supercomputers and there able to do trillions of calculations per second the fastest computer is called the BlueGene/L and it can do 360 trillion calculations per second
The most expensive computer is made in Japan. It is an Earth simulator costing over $400,000,000, which makes it the most expensive computer ever built.This very expensive computer is used for a variety of international projects. Most are related to atmospheric, climate, and oceanographic simulation.
A supercomputer generates a lot of heat, so it needs air conditioning to compensate, otherwise it would overheat the room and burn itself up.
According to TOP500, the fastest computer is currently (as of September 2017) the Sunway TaihuLight, at a speed of 93 petaflops. I don't know whether this is also the most expensive computer.
An Atomic Force microscope is the most powerful type