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869131245132 = 223441109600247
BaseRepresentation
bin11001010010111000100…
…00100101011001001100
310002002101020202212020000
430221130100211121030
5103214440044321012
61503135014524300
7116535611455443
oct14513420453114
93062336685200
10869131245132
11305661a25437
1212053a366690
1363c6041a297
14300cd835d5a
151791c4e8ddc
hexca5c42564c

869131245132 has 120 divisors (see below), whose sum is σ = 2348854458720. Its totient is φ = 280050773760.

The previous prime is 869131245109. The next prime is 869131245163. The reversal of 869131245132 is 231542131968.

869131245132 is a `hidden beast` number, since 8 + 6 + 9 + 1 + 3 + 124 + 513 + 2 = 666.

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 39 ways as a sum of consecutive naturals, for example, 1147833 + ... + 1748079.

It is an arithmetic number, because the mean of its divisors is an integer number (19573787156).

Almost surely, 2869131245132 is an apocalyptic number.

869131245132 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 869131245132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174427229360).

869131245132 is an abundant number, since it is smaller than the sum of its proper divisors (1479723213588).

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

869131245132 is a wasteful number, since it uses less digits than its factorization.

869131245132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600413 (or 600402 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 869131245132 in words is "eight hundred sixty-nine billion, one hundred thirty-one million, two hundred forty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 109 123 162 164 218 246 324 327 369 436 492 654 738 981 1107 1308 1476 1962 2214 2943 3321 3924 4428 4469 5886 6642 8829 8938 11772 13284 13407 17658 17876 26814 35316 40221 53628 80442 120663 160884 241326 361989 482652 600247 723978 1200494 1447956 1800741 2400988 3601482 5402223 7202964 10804446 16206669 21608892 24610127 32413338 48620007 49220254 64826676 65426923 73830381 97240014 98440508 130853846 147660762 194480028 196280769 221491143 261707692 295321524 392561538 442982286 588842307 664473429 785123076 885964572 1177684614 1328946858 1766526921 1993420287 2355369228 2657893716 2682503843 3533053842 3986840574 5299580763 5365007686 7066107684 7973681148 8047511529 10599161526 10730015372 16095023058 21198323052 24142534587 32190046116 48285069174 72427603761 96570138348 144855207522 217282811283 289710415044 434565622566 869131245132