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312492361686132 = 2231761155111618973
BaseRepresentation
bin100011100001101011100110…
…0001101101001110001110100
31111222102222101222101212002110
41013003113030031221301310
5311424333324042424012
63024341001550011020
7122551554015000345
oct10703271415516164
91458388358355073
10312492361686132
119062a2a2570531
122b06b1437a6a70
1310549b98617704
1457249d50000cc
15261d99ba0d73c
hex11c35cc369c74

312492361686132 has 96 divisors (see below), whose sum is σ = 784747419450624. Its totient is φ = 96423381964800.

The previous prime is 312492361686119. The next prime is 312492361686143. The reversal of 312492361686132 is 231686163294213.

It is a super-2 number, since 2×3124923616861322 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192209398 + ... + 193828370.

It is an arithmetic number, because the mean of its divisors is an integer number (8174452285944).

Almost surely, 2312492361686132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312492361686132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392373709725312).

312492361686132 is an abundant number, since it is smaller than the sum of its proper divisors (472255057764492).

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

312492361686132 is a wasteful number, since it uses less digits than its factorization.

312492361686132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634569 (or 1634567 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 57.

The spelling of 312492361686132 in words is "three hundred twelve trillion, four hundred ninety-two billion, three hundred sixty-one million, six hundred eighty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 183 204 244 366 732 1037 2074 3111 4148 6222 12444 15511 31022 46533 62044 93066 186132 263687 527374 791061 946171 1054748 1582122 1618973 1892342 2838513 3164244 3237946 3784684 4856919 5677026 6475892 9713838 11354052 16084907 19427676 27522541 32169814 48254721 55045082 64339628 82567623 96509442 98757353 110090164 165135246 193018884 197514706 296272059 330270492 395029412 592544118 1185088236 1678875001 3357750002 5036625003 6715500004 10073250006 20146500012 25111890203 50223780406 75335670609 100447560812 150671341218 301342682436 426902133451 853804266902 1280706400353 1531825302383 1707608533804 2561412800706 3063650604766 4595475907149 5122825601412 6127301209532 9190951814298 18381903628596 26041030140511 52082060281022 78123090421533 104164120562044 156246180843066 312492361686132