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9966512996 = 22112234347443
BaseRepresentation
bin10010100100000110…
…01110101101100100
3221201120202022120222
421102003032231210
5130402411403441
64324544543512
7501656651126
oct112203165544
927646668528
109966512996
114254922800
121b21921b98
13c2aa9428b
146a7927216
153d4e95d4b
hex2520ceb64

9966512996 has 144 divisors (see below), whose sum is σ = 20952594432. Its totient is φ = 4133088960.

The previous prime is 9966512993. The next prime is 9966513013. The reversal of 9966512996 is 6992156699.

It is not an unprimeable number, because it can be changed into a prime (9966512993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22497551 + ... + 22497993.

It is an arithmetic number, because the mean of its divisors is an integer number (145504128).

Almost surely, 29966512996 is an apocalyptic number.

It is an amenable number.

9966512996 is an abundant number, since it is smaller than the sum of its proper divisors (10986081436).

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

9966512996 is a wasteful number, since it uses less digits than its factorization.

9966512996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 569 counting only the distinct ones).

The product of its digits is 14171760, while the sum is 62.

The square root of 9966512996 is about 99832.4245723803. The cubic root of 9966512996 is about 2152.0271485476.

The spelling of 9966512996 in words is "nine billion, nine hundred sixty-six million, five hundred twelve thousand, nine hundred ninety-six".

Divisors: 1 2 4 11 22 23 43 44 46 47 86 92 94 121 172 188 242 253 443 473 484 506 517 886 946 989 1012 1034 1081 1772 1892 1978 2021 2068 2162 2783 3956 4042 4324 4873 5203 5566 5687 8084 9746 10189 10406 10879 11132 11374 11891 19049 19492 20378 20812 20821 21758 22231 22748 23782 38098 40756 41642 43516 44462 46483 47564 53603 76196 83284 88924 92966 107206 112079 119669 130801 185932 209539 214412 224158 229031 239338 244541 261602 419078 438127 448316 458062 478676 478883 489082 511313 523204 838156 876254 895303 916124 957766 978164 1022626 1232869 1752508 1790606 1915532 2045252 2304929 2465738 2519341 3581212 4609858 4819397 4931476 5038682 5267713 5624443 9219716 9638794 9848333 10077364 10535426 11248886 19277588 19696666 20591969 21070852 22497772 39393332 41183938 53013367 57944843 82367876 106026734 108331663 115889686 212053468 216663326 226511659 231779372 433326652 453023318 906046636 2491628249 4983256498 9966512996