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148100878376112 = 2433129533368993
BaseRepresentation
bin100001101011001001101100…
…001111110001110010110000
3201102101022020212002102012210
4201223021230033301302300
5123402441044331013422
61242552334304452120
743123635554251164
oct4153115417616260
9642338225072183
10148100878376112
114320a258952552
121473ab3861a040
136483b11aa936c
142880199518ca4
15121c69c84610c
hex86b26c3f1cb0

148100878376112 has 120 divisors (see below), whose sum is σ = 395748744624432. Its totient is φ = 47724332113920.

The previous prime is 148100878376069. The next prime is 148100878376117. The reversal of 148100878376112 is 211673878001841.

It is not an unprimeable number, because it can be changed into a prime (148100878376117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 42275488 + ... + 45644480.

Almost surely, 2148100878376112 is an apocalyptic number.

148100878376112 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 148100878376112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197874372312216).

148100878376112 is an abundant number, since it is smaller than the sum of its proper divisors (247647866248320).

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

148100878376112 is a wasteful number, since it uses less digits than its factorization.

148100878376112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370019 (or 3369982 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 57.

The spelling of 148100878376112 in words is "one hundred forty-eight trillion, one hundred billion, eight hundred seventy-eight million, three hundred seventy-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 953 961 1488 1906 1922 2859 2883 3812 3844 5718 5766 7624 7688 11436 11532 15248 15376 22872 23064 29543 45744 46128 59086 88629 118172 177258 236344 354516 472688 709032 915833 1418064 1831666 2747499 3368993 3663332 5494998 6737986 7326664 10106979 10989996 13475972 14653328 20213958 21979992 26951944 40427916 43959984 53903888 80855832 104438783 161711664 208877566 313316349 417755132 626632698 835510264 1253265396 1671020528 2506530792 3210650329 3237602273 5013061584 6421300658 6475204546 9631950987 9712806819 12842601316 12950409092 19263901974 19425613638 25685202632 25900818184 38527803948 38851227276 51370405264 51801636368 77055607896 77702454552 99530160199 154111215792 155404909104 199060320398 298590480597 398120640796 597180961194 796241281592 1194361922388 1592482563184 2388723844776 3085434966169 4777447689552 6170869932338 9256304898507 12341739864676 18512609797014 24683479729352 37025219594028 49366959458704 74050439188056 148100878376112