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131782147656104 = 231119701911229103
BaseRepresentation
bin11101111101101011101100…
…000110010100100110101000
3122021121020202110020102022102
4131331223230012110212220
5114233104314244443404
61144135514411112532
736520642316635631
oct3575535406244650
9567536673212272
10131782147656104
1138a985498866a0
121294431a742748
13586c007057b9a
14247840b9b8888
151037e51bb371e
hex77daec1949a8

131782147656104 has 64 divisors (see below), whose sum is σ = 283781916288000. Its totient is φ = 56740203241920.

The previous prime is 131782147656077. The next prime is 131782147656143. The reversal of 131782147656104 is 401656741287131.

It is a self number, because there is not a number n which added to its sum of digits gives 131782147656104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6121217 + ... + 17350319.

It is an arithmetic number, because the mean of its divisors is an integer number (4434092442000).

Almost surely, 2131782147656104 is an apocalyptic number.

It is an amenable number.

131782147656104 is an abundant number, since it is smaller than the sum of its proper divisors (151999768631896).

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

131782147656104 is a wasteful number, since it uses less digits than its factorization.

131782147656104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11236158 (or 11236154 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 131782147656104 in words is "one hundred thirty-one trillion, seven hundred eighty-two billion, one hundred forty-seven million, six hundred fifty-six thousand, one hundred four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1672 7019 14038 28076 56152 77209 133361 154418 266722 308836 533444 617672 1066888 1466971 2933942 5867884 11229103 11735768 22458206 44916412 89832824 123520133 213352957 247040266 426705914 494080532 853411828 988161064 1706823656 2346882527 4693765054 9387530108 18775060216 78817073957 157634147914 315268295828 630536591656 866987813527 1497524405183 1733975627054 2995048810366 3467951254108 5990097620732 6935902508216 11980195241464 16472768457013 32945536914026 65891073828052 131782147656104