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86937479292 = 223234333721737
BaseRepresentation
bin101000011110111100…
…0001010100001111100
322022101211012112111110
41100331320022201330
52411021443314132
6103534415522020
76165251244516
oct1207570124174
9268354175443
1086937479292
1133962a38a44
1214a23229310
1382764ba651
1442ca29cbb6
1523dc5881cc
hex143de0a87c

86937479292 has 96 divisors (see below), whose sum is σ = 217249224192. Its totient is φ = 26992982016.

The previous prime is 86937479261. The next prime is 86937479297. The reversal of 86937479292 is 29297473968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86937479297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3988648 + ... + 4010384.

It is an arithmetic number, because the mean of its divisors is an integer number (2263012752).

Almost surely, 286937479292 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 86937479292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108624612096).

86937479292 is an abundant number, since it is smaller than the sum of its proper divisors (130311744900).

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

86937479292 is a wasteful number, since it uses less digits than its factorization.

86937479292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22147 (or 22145 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 66.

The spelling of 86937479292 in words is "eighty-six billion, nine hundred thirty-seven million, four hundred seventy-nine thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 23 43 46 69 86 92 129 138 172 258 276 337 516 674 989 1011 1348 1978 2022 2967 3956 4044 5934 7751 11868 14491 15502 21737 23253 28982 31004 43473 43474 46506 57964 65211 86946 86948 93012 130422 173892 260844 333293 499951 666586 934691 999879 999902 1333172 1499853 1869382 1999758 1999804 2804073 2999706 3738764 3999516 5608146 5999412 7325369 11216292 14650738 21497893 21976107 29301476 42995786 43952214 64493679 85991572 87904428 128987358 168483487 257974716 314990867 336966974 505450461 629981734 673933948 944972601 1010900922 1259963468 1889945202 2021801844 3779890404 7244789941 14489579882 21734369823 28979159764 43468739646 86937479292