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932066670096 = 243243218712
BaseRepresentation
bin11011001000000111000…
…00001011011000010000
310022002211022212201000100
431210003200023120100
5110232333031420341
61552104023252400
7124224323655432
oct15440340133020
93262738781010
10932066670096
1132a318377741
121307832aa100
1369b8006c503
14331800c2652
15193a27d73b6
hexd90380b610

932066670096 has 135 divisors (see below), whose sum is σ = 2671993614927. Its totient is φ = 303301373760.

The previous prime is 932066670037. The next prime is 932066670191. The reversal of 932066670096 is 690076660239.

It is a happy number.

The square root of 932066670096 is 965436.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 498164041 + ... + 498165911.

Almost surely, 2932066670096 is an apocalyptic number.

932066670096 is the 965436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 932066670096

932066670096 is an abundant number, since it is smaller than the sum of its proper divisors (1739926944831).

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

932066670096 is an equidigital number, since it uses as much as digits as its factorization.

932066670096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3842 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 932066670096 in words is "nine hundred thirty-two billion, sixty-six million, six hundred seventy thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 1849 1871 2064 3096 3698 3742 5547 5613 6192 7396 7484 11094 11226 14792 14968 16641 16839 22188 22452 29584 29936 33282 33678 44376 44904 66564 67356 80453 88752 89808 133128 134712 160906 241359 266256 269424 321812 482718 643624 724077 965436 1287248 1448154 1930872 2896308 3459479 3500641 3861744 5792616 6918958 7001282 10378437 10501923 11585232 13837916 14002564 20756874 21003846 27675832 28005128 31135311 31505769 41513748 42007692 55351664 56010256 62270622 63011538 83027496 84015384 124541244 126023076 150527563 166054992 168030768 249082488 252046152 301055126 451582689 498164976 504092304 602110252 903165378 1204220504 1354748067 1806330756 2408441008 2709496134 3612661512 5418992268 6472685209 7225323024 10837984536 12945370418 19418055627 21675969072 25890740836 38836111254 51781481672 58254166881 77672222508 103562963344 116508333762 155344445016 233016667524 310688890032 466033335048 932066670096