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10251320136642 = 2321343809060413
BaseRepresentation
bin1001010100101101001001…
…0010111001001111000010
31100022000110010101222222100
42111023102102321033002
52320424200423333032
633445220315451230
72105430161303034
oct225132222711702
940260403358870
1010251320136642
1132a2618a69492
121196936456b16
13594906882a50
14276248dc3c54
1512b9d8ac897c
hex952d24b93c2

10251320136642 has 24 divisors (see below), whose sum is σ = 23919746986044. Its totient is φ = 3154252349664.

The previous prime is 10251320136613. The next prime is 10251320136667. The reversal of 10251320136642 is 24663102315201.

10251320136642 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 1 + 3 + 2 + 0 + 1 + 3 + 6 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7991923346001 + 2259396790641 = 2826999^2 + 1503129^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10251320136597 and 10251320136606.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21904529973 + ... + 21904530440.

Almost surely, 210251320136642 is an apocalyptic number.

10251320136642 is an abundant number, since it is smaller than the sum of its proper divisors (13668426849402).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10251320136642 is a wasteful number, since it uses less digits than its factorization.

10251320136642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43809060434 (or 43809060431 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10251320136642 in words is "ten trillion, two hundred fifty-one billion, three hundred twenty million, one hundred thirty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 43809060413 87618120826 131427181239 262854362478 394281543717 569517785369 788563087434 1139035570738 1708553356107 3417106712214 5125660068321 10251320136642