In number theory, a sublime number is a positive integer which has a perfect number of positive divisors (including itself), and whose positive divisors add up to another perfect number.
The number 12, for example, is a sublime number. It has a perfect number of positive divisors (6): 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
(2126)(261 − 1)(231 − 1)(219 − 1)(27 − 1)(25 − 1)(23 − 1)
The second of these has 76 decimal digits:
6086555670238378989670371734243169622657830773351885970528324860512791691264.
So today's number is the sum of these two numbers.
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