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86294568432 = 24310336134831
BaseRepresentation
bin101000001011110001…
…1101001110111110000
322020202000110021121010
41100113203221313300
52403212402142212
6103350532030520
76143313505032
oct1202743516760
9266660407533
1086294568432
1133663041556
1214883a62440
1381a3249317
144268b45c52
1523a0de103c
hex14178e9df0

86294568432 has 80 divisors (see below), whose sum is σ = 225200887808. Its totient is φ = 28471806720.

The previous prime is 86294568431. The next prime is 86294568439. The reversal of 86294568432 is 23486549268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86294568431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17860257 + ... + 17865087.

Almost surely, 286294568432 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 86294568432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112600443904).

86294568432 is an abundant number, since it is smaller than the sum of its proper divisors (138906319376).

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

86294568432 is a wasteful number, since it uses less digits than its factorization.

86294568432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8558 (or 8552 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 57.

The spelling of 86294568432 in words is "eighty-six billion, two hundred ninety-four million, five hundred sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1236 1648 2472 3613 4831 4944 7226 9662 10839 14452 14493 19324 21678 28904 28986 38648 43356 57808 57972 77296 86712 115944 173424 231888 372139 497593 744278 995186 1116417 1488556 1492779 1990372 2232834 2977112 2985558 3980744 4465668 5954224 5971116 7961488 8931336 11942232 17454403 17862672 23884464 34908806 52363209 69817612 104726418 139635224 209452836 279270448 418905672 837811344 1797803509 3595607018 5393410527 7191214036 10786821054 14382428072 21573642108 28764856144 43147284216 86294568432