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112695521680 = 24571796911627
BaseRepresentation
bin110100011110100101…
…1010011000110010000
3101202212221111122222101
41220331023103012100
53321300023143210
6123434400050144
711066462062150
oct1507513230620
9352787448871
10112695521680
1143880758485
1219a11603954
13a81caa6151
1456511ac760
152de8a95a3a
hex1a3d2d3190

112695521680 has 160 divisors (see below), whose sum is σ = 301742115840. Its totient is φ = 38343421440.

The previous prime is 112695521677. The next prime is 112695521749. The reversal of 112695521680 is 86125596211.

It is a self number, because there is not a number n which added to its sum of digits gives 112695521680.

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 31 ways as a sum of consecutive naturals, for example, 69265027 + ... + 69266653.

It is an arithmetic number, because the mean of its divisors is an integer number (1885888224).

Almost surely, 2112695521680 is an apocalyptic number.

112695521680 is a gapful number since it is divisible by the number (10) 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 112695521680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150871057920).

112695521680 is an abundant number, since it is smaller than the sum of its proper divisors (189046594160).

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

112695521680 is a wasteful number, since it uses less digits than its factorization.

112695521680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 46.

The spelling of 112695521680 in words is "one hundred twelve billion, six hundred ninety-five million, five hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 179 280 358 560 691 716 895 1253 1382 1432 1627 1790 2506 2764 2864 3254 3455 3580 4837 5012 5528 6265 6508 6910 7160 8135 9674 10024 11056 11389 12530 13016 13820 14320 16270 19348 20048 22778 24185 25060 26032 27640 32540 38696 45556 48370 50120 55280 56945 65080 77392 91112 96740 100240 113890 123689 130160 182224 193480 227780 247378 291233 386960 455560 494756 582466 618445 865823 911120 989512 1124257 1164932 1236890 1456165 1731646 1979024 2038631 2248514 2329864 2473780 2912330 3463292 4077262 4329115 4497028 4659728 4947560 5621285 5824660 6926584 7869799 8154524 8658230 8994056 9895120 10193155 11242570 11649320 13853168 15739598 16309048 17316460 17988112 20386310 22485140 23298640 31479196 32618096 34632920 39348995 40772620 44970280 62958392 69265840 78697990 81545240 89940560 125916784 157395980 163090480 201242003 314791960 402484006 629583920 804968012 1006210015 1408694021 1609936024 2012420030 2817388042 3219872048 4024840060 5634776084 7043470105 8049680120 11269552168 14086940210 16099360240 22539104336 28173880420 56347760840 112695521680