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42643465992 = 23321751536761
BaseRepresentation
bin100111101101101111…
…111010011100001000
311002001220012112010100
4213231233322130020
51144313211402432
631331245245400
73036513323511
oct475557723410
9132056175110
1042643465992
11170a3141186
128321263860
13403793381a
1420c76c5a08
151198b0107c
hex9edbfa708

42643465992 has 96 divisors (see below), whose sum is σ = 122328231480. Its totient is φ = 13373767680.

The previous prime is 42643465939. The next prime is 42643466027. The reversal of 42643465992 is 29956434624.

42643465992 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 3 + 46 + 599 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42628209156 + 15256836 = 206466^2 + 3906^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6303892 + ... + 6310652.

Almost surely, 242643465992 is an apocalyptic number.

It is an amenable number.

42643465992 is an abundant number, since it is smaller than the sum of its proper divisors (79684765488).

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

42643465992 is a wasteful number, since it uses less digits than its factorization.

42643465992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11943 (or 11936 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 42643465992 in words is "forty-two billion, six hundred forty-three million, four hundred sixty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 5153 6761 10306 13522 15459 20283 20612 27044 30918 40566 41224 46377 54088 60849 61836 81132 87601 92754 114937 121698 123672 162264 175202 185508 229874 243396 262803 344811 350404 371016 459748 486792 525606 689622 700808 788409 919496 1034433 1051212 1379244 1576818 2068866 2102424 2758488 3153636 4137732 6307272 8275464 34839433 69678866 104518299 139357732 209036598 278715464 313554897 418073196 592270361 627109794 836146392 1184540722 1254219588 1776811083 2369081444 2508439176 3553622166 4738162888 5330433249 7107244332 10660866498 14214488664 21321732996 42643465992