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104942256514368 = 2637136006310469
BaseRepresentation
bin10111110111000111000101…
…111010111110010101000000
3111202120101022021212122201220
4113313013011322332111000
5102223333220131424433
61011105450155555040
731050553642314660
oct2767070572762500
9452511267778656
10104942256514368
113048a840a66289
12b92a61945ba80
13467302110ac20
141bcb3376941a0
15c1ebc79202b3
hex5f71c5ebe540

104942256514368 has 112 divisors (see below), whose sum is σ = 341735040501120. Its totient is φ = 27677078636544.

The previous prime is 104942256514357. The next prime is 104942256514399. The reversal of 104942256514368 is 863415652249401.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1049422565143682 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 3003137763 + ... + 3003172706.

It is an arithmetic number, because the mean of its divisors is an integer number (3051205718760).

Almost surely, 2104942256514368 is an apocalyptic number.

It is an amenable number.

104942256514368 is an abundant number, since it is smaller than the sum of its proper divisors (236792783986752).

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

104942256514368 is a wasteful number, since it uses less digits than its factorization.

104942256514368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6006310504 (or 6006310494 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 60.

The spelling of 104942256514368 in words is "one hundred four trillion, nine hundred forty-two billion, two hundred fifty-six million, five hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 6006310469 12012620938 18018931407 24025241876 36037862814 42044173283 48050483752 72075725628 78082036097 84088346566 96100967504 126132519849 144151451256 156164072194 168176693132 192201935008 234246108291 252265039698 288302902512 312328144388 336353386264 384403870016 468492216582 504530079396 546574252679 576605805024 624656288776 672706772528 936984433164 1009060158792 1093148505358 1153211610048 1249312577552 1345413545056 1639722758037 1873968866328 2018120317584 2186297010716 2498625155104 2690827090112 3279445516074 3747937732656 4036240635168 4372594021432 4997250310208 6558891032148 7495875465312 8072481270336 8745188042864 13117782064296 14991750930624 17490376085728 26235564128592 34980752171456 52471128257184 104942256514368