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87604139376 = 243213290916087
BaseRepresentation
bin101000110010110011…
…1010001010101110000
322101010021122101012200
41101211213101111300
52413403124430001
6104124512423200
76220624620105
oct1214547212560
9271107571180
1087604139376
1134175286596
1214b8a547b00
138351655780
144350a38aac
15242ad72086
hex14659d1570

87604139376 has 120 divisors (see below), whose sum is σ = 264136323360. Its totient is φ = 26944178688.

The previous prime is 87604139369. The next prime is 87604139419. The reversal of 87604139376 is 67393140678.

87604139376 is a `hidden beast` number, since 8 + 76 + 0 + 413 + 93 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5437605 + ... + 5453691.

It is an arithmetic number, because the mean of its divisors is an integer number (2201136028).

Almost surely, 287604139376 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 87604139376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132068161680).

87604139376 is an abundant number, since it is smaller than the sum of its proper divisors (176532183984).

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

87604139376 is a wasteful number, since it uses less digits than its factorization.

87604139376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19023 (or 19014 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 87604139376 in words is "eighty-seven billion, six hundred four million, one hundred thirty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2909 5818 8727 11636 16087 17454 23272 26181 32174 34908 37817 46544 48261 52362 64348 69816 75634 96522 104724 113451 128696 139632 144783 151268 193044 209131 209448 226902 257392 289566 302536 340353 386088 418262 418896 453804 579132 605072 627393 680706 772176 836524 907608 1158264 1254786 1361412 1673048 1815216 1882179 2316528 2509572 2722824 3346096 3764358 5019144 5445648 7528716 10038288 15057432 30114864 46797083 93594166 140391249 187188332 280782498 374376664 421173747 561564996 608362079 748753328 842347494 1123129992 1216724158 1684694988 1825086237 2246259984 2433448316 3369389976 3650172474 4866896632 5475258711 6738779952 7300344948 9733793264 10950517422 14600689896 21901034844 29201379792 43802069688 87604139376