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131753112104640 = 26351310557140393
BaseRepresentation
bin11101111101010000101001…
…011100011110111011000000
3122021111110210220201120121110
4131331100221130132323000
5114232120333144322030
61144114313310323320
736515563640551245
oct3575205134367300
9567443726646543
10131753112104640
1138a871a9a94074
121293a7767b9540
13586935a7331c0
142476c556a55cc
151037302a971b0
hex77d42971eec0

131753112104640 has 112 divisors (see below), whose sum is σ = 450494294892768. Its totient is φ = 32431535284224.

The previous prime is 131753112104543. The next prime is 131753112104671. The reversal of 131753112104640 is 46401211357131.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 5278557717 + ... + 5278582676.

It is an arithmetic number, because the mean of its divisors is an integer number (4022270490114).

Almost surely, 2131753112104640 is an apocalyptic number.

131753112104640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131753112104640 is an abundant number, since it is smaller than the sum of its proper divisors (318741182788128).

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

131753112104640 is a wasteful number, since it uses less digits than its factorization.

131753112104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10557140426 (or 10557140416 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 131753112104640 in words is "one hundred thirty-one trillion, seven hundred fifty-three billion, one hundred twelve million, one hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 10557140393 21114280786 31671421179 42228561572 52785701965 63342842358 84457123144 105571403930 126685684716 137242825109 158357105895 168914246288 211142807860 253371369432 274485650218 316714211790 337828492576 411728475327 422285615720 506742738864 548971300436 633428423580 675656985152 686214125545 823456950654 844571231440 1013485477728 1097942600872 1266856847160 1372428251090 1646913901308 1689142462880 2026970955456 2058642376635 2195885201744 2533713694320 2744856502180 3293827802616 3378284925760 4117284753270 4391770403488 5067427388640 5489713004360 6587655605232 8234569506540 8783540806976 10134854777280 10979426008720 13175311210464 16469139013080 21958852017440 26350622420928 32938278026160 43917704034880 65876556052320 131753112104640