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Very, very long. A black hole will gradually evaporate, but this takes much longer than the current size of the Universe. A black hole of the mass of our Sun would take about 1067 years to evaporate, while a supermassive black hole might take 10100 years or more to evaporate (depending on its mass) - and this assumes it doesn't continue gobbling up matter in the meantime. Currently, a stellar black hole (as well as larger black holes) will absorb background radiation at a faster rate than they evaporate. For comparison, the current age of the Universe is only about 1.4 x 1010 years.

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