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86232612672 = 2632295162393
BaseRepresentation
bin101000001001111011…
…1010011111101000000
322020120200212121021100
41100103313103331000
52403101022101142
6103340440054400
76141632054013
oct1202367237500
9266520777240
1086232612672
1133631075248
1214867164400
1381934660cb
14426081937a
15239a753b4c
hex1413dd3f40

86232612672 has 84 divisors (see below), whose sum is σ = 255693374820. Its totient is φ = 27753019392.

The previous prime is 86232612637. The next prime is 86232612749. The reversal of 86232612672 is 27621623268.

86232612672 is a `hidden beast` number, since 8 + 6 + 23 + 2 + 612 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70089385536 + 16143227136 = 264744^2 + 127056^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2564493 + ... + 2597900.

Almost surely, 286232612672 is an apocalyptic number.

It is an amenable number.

86232612672 is an abundant number, since it is smaller than the sum of its proper divisors (169460762148).

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

86232612672 is a wasteful number, since it uses less digits than its factorization.

86232612672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5162440 (or 5162427 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 86232612672 in words is "eighty-six billion, two hundred thirty-two million, six hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5568 8352 16704 5162393 10324786 15487179 20649572 30974358 41299144 46461537 61948716 82598288 92923074 123897432 149709397 165196576 185846148 247794864 299418794 330393152 371692296 449128191 495589728 598837588 743384592 898256382 991179456 1197675176 1347384573 1486769184 1796512764 2395350352 2694769146 2973538368 3593025528 4790700704 5389538292 7186051056 9581401408 10779076584 14372102112 21558153168 28744204224 43116306336 86232612672