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136113015251712 = 2833132096327011
BaseRepresentation
bin11110111100101101000111…
…111011000110001100000000
3122211221021111001200110210110
4132330231013323012030000
5120320033423401023322
61201253242254031320
740445561256050502
oct3674550773061400
9584837431613713
10136113015251712
113a408229717a54
12133237454a8540
135ac452ca06495
142587c957c7d72
1510b092a1d1c0c
hex7bcb47ec6300

136113015251712 has 144 divisors (see below), whose sum is σ = 363447287215488. Its totient is φ = 45222218096640.

The previous prime is 136113015251621. The next prime is 136113015251761. The reversal of 136113015251712 is 217152510311631.

It is a happy 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, 5039156287 + ... + 5039183297.

It is an arithmetic number, because the mean of its divisors is an integer number (2523939494552).

Almost surely, 2136113015251712 is an apocalyptic number.

136113015251712 is a gapful number since it is divisible by the number (12) 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 136113015251712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181723643607744).

136113015251712 is an abundant number, since it is smaller than the sum of its proper divisors (227334271963776).

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

136113015251712 is a wasteful number, since it uses less digits than its factorization.

136113015251712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48306 (or 48292 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 39.

The spelling of 136113015251712 in words is "one hundred thirty-six trillion, one hundred thirteen billion, fifteen million, two hundred fifty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 313 384 626 768 939 1252 1878 2504 3756 5008 7512 10016 15024 20032 20963 27011 30048 40064 41926 54022 60096 62889 80128 81033 83852 108044 120192 125778 162066 167704 216088 240384 251556 324132 335408 432176 503112 648264 670816 864352 1006224 1296528 1341632 1728704 2012448 2593056 2683264 3457408 4024896 5186112 5366528 6561419 6914816 8049792 8454443 10372224 13122838 16099584 16908886 19684257 20744448 25363329 26245676 33817772 39368514 50726658 52491352 67635544 78737028 101453316 104982704 135271088 157474056 202906632 209965408 270542176 314948112 405813264 419930816 541084352 566231593 629896224 811626528 839861632 1082168704 1132463186 1259792448 1623253056 1679723264 1698694779 2164337408 2264926372 2519584896 3246506112 3397389558 4529852744 5039169792 6493012224 6794779116 9059705488 13589558232 18119410976 27179116464 36238821952 54358232928 72477643904 108716465856 144955287808 177230488609 217432931712 354460977218 434865863424 531691465827 708921954436 1063382931654 1417843908872 2126765863308 2835687817744 4253531726616 5671375635488 8507063453232 11342751270976 17014126906464 22685502541952 34028253812928 45371005083904 68056507625856 136113015251712