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134558929234872 = 233311871657331667
BaseRepresentation
bin11110100110000101110001…
…001011011010101110111000
3122122102201010010200000002000
4132212011301023122232320
5120114103141341003442
61154103304013141000
740225363463626602
oct3646056113325670
9578381103600060
10134558929234872
113996913767769a
121311250918a760
135a10b1117281c
142532988cc6172
1510852be8cad4c
hex7a61712dabb8

134558929234872 has 128 divisors (see below), whose sum is σ = 374124079929600. Its totient is φ = 44811070349184.

The previous prime is 134558929234861. The next prime is 134558929234901. The reversal of 134558929234872 is 278432929855431.

134558929234872 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 58 + 9 + 2 + 92 + 3 + 487 + 2 = 666.

It is a super-2 number, since 2×1345589292348722 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 134558929234872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4249168783 + ... + 4249200449.

It is an arithmetic number, because the mean of its divisors is an integer number (2922844374450).

Almost surely, 2134558929234872 is an apocalyptic number.

134558929234872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134558929234872 is an abundant number, since it is smaller than the sum of its proper divisors (239565150694728).

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

134558929234872 is a wasteful number, since it uses less digits than its factorization.

134558929234872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49442 (or 49432 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 134558929234872 in words is "one hundred thirty-four trillion, five hundred fifty-eight billion, nine hundred twenty-nine million, two hundred thirty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1187 2374 3561 4748 7122 9496 10683 14244 16573 21366 28488 31667 32049 33146 42732 49719 63334 64098 66292 85464 95001 99438 126668 128196 132584 149157 190002 198876 253336 256392 285003 298314 380004 397752 447471 570006 596628 760008 855009 894942 1140012 1193256 1710018 1789884 2280024 3420036 3579768 6840072 19672151 37588729 39344302 59016453 75177458 78688604 112766187 118032906 150354916 157377208 177049359 225532374 236065812 300709832 338298561 354098718 451064748 472131624 524817191 531148077 676597122 708197436 902129496 1014895683 1049634382 1062296154 1353194244 1416394872 1574451573 2029791366 2099268764 2124592308 2706388488 3148903146 4059582732 4198537528 4249184616 4723354719 6297806292 8119165464 9446709438 12595612584 14170064157 18893418876 28340128314 37786837752 56680256628 113360513256 622958005717 1245916011434 1868874017151 2491832022868 3737748034302 4983664045736 5606622051453 7475496068604 11213244102906 14950992137208 16819866154359 22426488205812 33639732308718 44852976411624 67279464617436 134558929234872