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Sublime number

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Sublime Numbers

A sublime number has a perfect number of factors, and its factors add up to another perfect number.

12 for example is sublime number, because it has a perfect number of factors-[6]]:1, 2, 3, 4, 6, and 12, and the sum of these is a perfect number-28.

There are only two know sublime numbers,

12 and 6086555670238378989670371734243169622657830773351885970528324860512791691264.