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12917281632 = 2531719416579
BaseRepresentation
bin11000000011110111…
…00001001101100000
31020100020010220012020
430001323201031200
5202423311003012
65533434101440
7635050040133
oct140173411540
936306126166
1012917281632
115529517972
122605b7a880
1312ab1cc218
148a779621a
15509062a8c
hex301ee1360

12917281632 has 96 divisors (see below), whose sum is σ = 37792137600. Its totient is φ = 3839182848.

The previous prime is 12917281631. The next prime is 12917281667. The reversal of 12917281632 is 23618271921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12917281631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177282 + ... + 239297.

It is an arithmetic number, because the mean of its divisors is an integer number (393668100).

Almost surely, 212917281632 is an apocalyptic number.

12917281632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12917281632 is an abundant number, since it is smaller than the sum of its proper divisors (24874855968).

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

12917281632 is a wasteful number, since it uses less digits than its factorization.

12917281632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416628 (or 416620 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The spelling of 12917281632 in words is "twelve billion, nine hundred seventeen million, two hundred eighty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 114 136 152 204 228 272 304 323 408 456 544 608 646 816 912 969 1292 1632 1824 1938 2584 3876 5168 7752 10336 15504 31008 416579 833158 1249737 1666316 2499474 3332632 4998948 6665264 7081843 7915001 9997896 13330528 14163686 15830002 19995792 21245529 23745003 28327372 31660004 39991584 42491058 47490006 56654744 63320008 84982116 94980012 113309488 126640016 134555017 169964232 189960024 226618976 253280032 269110034 339928464 379920048 403665051 538220068 679856928 759840096 807330102 1076440136 1614660204 2152880272 3229320408 4305760544 6458640816 12917281632