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86112366372 = 2232171516531427
BaseRepresentation
bin101000000110010110…
…0100110111100100100
322020021022121110100200
41100030230212330210
52402324231210442
6103320502510500
76135642015504
oct1201454467444
9266238543320
1086112366372
113357a20543a
1214832a35430
138174584056
14424c877a04
15238ee0034c
hex140cb26f24

86112366372 has 144 divisors (see below), whose sum is σ = 232521674112. Its totient is φ = 26776857600.

The previous prime is 86112366331. The next prime is 86112366419. The reversal of 86112366372 is 27366321168.

86112366372 is a `hidden beast` number, since 8 + 6 + 1 + 1 + 2 + 3 + 6 + 637 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60344323 + ... + 60345749.

It is an arithmetic number, because the mean of its divisors is an integer number (1614733848).

Almost surely, 286112366372 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 86112366372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116260837056).

86112366372 is an abundant number, since it is smaller than the sum of its proper divisors (146409307740).

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

86112366372 is a wasteful number, since it uses less digits than its factorization.

86112366372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 2253 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 86112366372 in words is "eighty-six billion, one hundred twelve million, three hundred sixty-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 151 153 204 302 306 453 604 612 653 906 1306 1359 1427 1812 1959 2567 2612 2718 2854 3918 4281 5134 5436 5708 5877 7701 7836 8562 10268 11101 11754 12843 15402 17124 22202 23103 23508 24259 25686 30804 33303 44404 46206 48518 51372 66606 72777 92412 97036 98603 99909 133212 145554 197206 199818 215477 218331 291108 295809 394412 399636 430954 436662 591618 646431 861908 873324 887427 931831 1183236 1292862 1676251 1774854 1863662 1939293 2585724 2795493 3352502 3549708 3663109 3727324 3878586 5028753 5590986 6705004 7326218 7757172 8386479 10057506 10989327 11181972 14652436 15086259 15841127 16772958 20115012 21978654 30172518 31682254 32967981 33545916 43957308 47523381 60345036 63364508 65935962 95046762 131871924 140706481 142570143 190093524 281412962 285140286 422119443 562825924 570280572 844238886 1266358329 1688477772 2392010177 2532716658 4784020354 5065433316 7176030531 9568040708 14352061062 21528091593 28704122124 43056183186 86112366372