Sublime number

A sublime number is a positive integer which has a perfect number of positive factors (including itself), and whose positive factors add up to another perfect number. For example 12 whose factor are 1, 2, 3, 4, 6, and 12 this is 6 factors. 6 is a perfect number. The only other sublime number is 6,086,555,670,238,378,989,670,371,734,243,169,622,657,830,773,351,885,970,528,324,860,512,791,691,264.

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Category:Integers