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Unitary Perfect Number

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A unitary perfect number is a number n which is the sum of its unitary divisors with the exception of n itself. There are no odd unitary perfect numbers, and it has been conjectured that there are only a finite number of even ones. The first few are 6, 60, 90, 87360, 146361946186458562560000, ... (Sloane's A002827).

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