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10397945664 = 263218051989
BaseRepresentation
bin10011010111100010…
…00000111101000000
3222211122120100221200
421223301000331000
5132243333230124
64435440021200
7515446036251
oct115361007500
928748510850
1010397945664
114456407527
122022301800
13c9928c992
14708d50b28
1540ccb7bc9
hex26bc40f40

10397945664 has 42 divisors (see below), whose sum is σ = 29803835490. Its totient is φ = 3465981696.

The previous prime is 10397945633. The next prime is 10397945707. The reversal of 10397945664 is 46654979301.

10397945664 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 79 + 4 + 566 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7238606400 + 3159339264 = 85080^2 + 56208^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10397945664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9025419 + ... + 9026570.

Almost surely, 210397945664 is an apocalyptic number.

It is an amenable number.

10397945664 is an abundant number, since it is smaller than the sum of its proper divisors (19405889826).

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

10397945664 is a wasteful number, since it uses less digits than its factorization.

10397945664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18052007 (or 18051994 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 10397945664 in words is "ten billion, three hundred ninety-seven million, nine hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 18051989 36103978 54155967 72207956 108311934 144415912 162467901 216623868 288831824 324935802 433247736 577663648 649871604 866495472 1155327296 1299743208 1732990944 2599486416 3465981888 5198972832 10397945664