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113478479975224 = 237137311511855171
BaseRepresentation
bin11001110011010101000100…
…011111010001001100111000
3112212210102210101022020120001
4121303111010133101030320
5104333212411333201344
61041203143301442344
732621356343460310
oct3163250437211470
9485712711266501
10113478479975224
1133180a53628221
1210888a814103b4
134b41c89690750
14200455dd3c440
15d1bc8066aed4
hex6735447d1338

113478479975224 has 128 divisors (see below), whose sum is σ = 265691500462080. Its totient is φ = 44239125888000.

The previous prime is 113478479975177. The next prime is 113478479975251. The reversal of 113478479975224 is 422579974874311.

113478479975224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (73).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60241159 + ... + 62096329.

It is an arithmetic number, because the mean of its divisors is an integer number (2075714847360).

Almost surely, 2113478479975224 is an apocalyptic number.

113478479975224 is a gapful number since it is divisible by the number (14) 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 113478479975224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132845750231040).

113478479975224 is an abundant number, since it is smaller than the sum of its proper divisors (152213020486856).

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

113478479975224 is a wasteful number, since it uses less digits than its factorization.

113478479975224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856421 (or 1856417 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 73.

The spelling of 113478479975224 in words is "one hundred thirteen trillion, four hundred seventy-eight billion, four hundred seventy-nine million, nine hundred seventy-five thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 73 91 104 146 182 292 364 511 584 728 949 1022 1151 1898 2044 2302 3796 4088 4604 6643 7592 8057 9208 13286 14963 16114 26572 29926 32228 53144 59852 64456 84023 104741 119704 168046 209482 336092 418964 588161 672184 837928 1092299 1176322 1855171 2184598 2352644 3710342 4369196 4705288 7420684 7646093 8738392 12986197 14841368 15292186 24117223 25972394 30584372 48234446 51944788 61168744 96468892 103889576 135427483 168820561 192937784 270854966 337641122 541709932 675282244 947992381 1083419864 1350564488 1760557279 1895984762 2135301821 3521114558 3791969524 4270603642 7042229116 7583939048 8541207284 12323900953 14084458232 14947112747 17082414568 24647801906 27758923673 29894225494 49295603812 55517847346 59788450988 98591207624 111035694692 119576901976 155877032933 194312465711 222071389384 311754065866 388624931422 623508131732 777249862844 1091139230531 1247016263464 1554499725688 2026401428129 2182278461062 4052802856258 4364556922124 8105605712516 8729113844248 14184809996903 16211211425032 28369619993806 56739239987612 113478479975224