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9940810656 = 253717870169
BaseRepresentation
bin10010100001000010…
…01011101110100000
3221122210101111121110
421100201023232200
5130324321420111
64322230023320
7501225332160
oct112041135640
927583344543
109940810656
1142413681a7
121b151a7b40
13c256654aa
146a43565a0
153d2aba5a6
hex25084bba0

9940810656 has 96 divisors (see below), whose sum is σ = 31576728960. Its totient is φ = 2673156096.

The previous prime is 9940810637. The next prime is 9940810667. The reversal of 9940810656 is 6560180499.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423661 + ... + 446508.

It is an arithmetic number, because the mean of its divisors is an integer number (328924260).

Almost surely, 29940810656 is an apocalyptic number.

9940810656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9940810656 is an abundant number, since it is smaller than the sum of its proper divisors (21635918304).

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

9940810656 is a wasteful number, since it uses less digits than its factorization.

9940810656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870206 (or 870198 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 9940810656 is about 99703.6140568636. The cubic root of 9940810656 is about 2150.1756233678.

The spelling of 9940810656 in words is "nine billion, nine hundred forty million, eight hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 870169 1740338 2610507 3480676 5221014 6091183 6961352 10442028 12182366 13922704 14792873 18273549 20884056 24364732 27845408 29585746 36547098 41768112 44378619 48729464 59171492 73094196 83536224 88757238 97458928 103550111 118342984 146188392 177514476 194917856 207100222 236685968 292376784 310650333 355028952 414200444 473371936 584753568 621300666 710057904 828400888 1242601332 1420115808 1656801776 2485202664 3313603552 4970405328 9940810656