Sublime number
In number theory, a sublime number is a positive integer which has a perfect number of positive factors , and whose positive factors add up to another perfect number.
The number 12, for example, is a sublime number. It has a perfect number of positive factors : 1, 2, 3, 4, 6, and 12, and the sum of these is again a perfect number: 1 + 2 + 3 + 4 + 6 + 12 = 28.
There are only two known sublime numbers, 12 and . The second of these has 76 decimal digits:
