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If the Earth has a mass of 5.98 X 1024 (which seems likely to be what the questioner meant, since the Earth clearly has a mass of much more than 6 kilograms), the average mass of the atomic units that make up the Earth is 40 amu, and 1 amu = 1.6605402 X 10-27 kg (which seems likely to be what the questioner meant, since the number as given is a negative number and therefore can not be correct for a mass), the answer is:

5.98 X 1024/[(40)(1.6605... X 10-27)] = 1.435 X 1052 atoms.

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