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A sublime number is a number n such that both the number of divisors and its sum of divisors are perfect numbers.

For example, 10 is a sublime number, because it has 6 divisors, which is a perfect number. Its divisors are 1, 2, 3, 4, 6, and 10, which add up to 24, is also a perfect number.

10 and 18E27099E934907277099E91X484159E264E0XX1359X268567863258910E7498X682454 are conjectured to be the only sublime numbers. The second sublime number has 5E dozenal digits.

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