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135083926165824 = 2633174598445199
BaseRepresentation
bin11110101101101110101101…
…011011110001100101000000
3122201021220020002000101012000
4132231232231123301211000
5120201203340044301244
61155144410551304000
740311330422126046
oct3655565533614500
9581256202011160
10135083926165824
113a050853765309
121319820567b000
135a4b489cc0bac
14255014dcd4396
151093c99cc7169
hex7adbad6f1940

135083926165824 has 112 divisors (see below), whose sum is σ = 420481829088000. Its totient is φ = 42379270944768.

The previous prime is 135083926165801. The next prime is 135083926165871. The reversal of 135083926165824 is 428561629380531.

135083926165824 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 8 + 3 + 9 + 2 + 616 + 5 + 8 + 2 + 4 = 666.

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, 2299193224 + ... + 2299251975.

Almost surely, 2135083926165824 is an apocalyptic number.

It is an amenable number.

135083926165824 is an abundant number, since it is smaller than the sum of its proper divisors (285397902922176).

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

135083926165824 is a wasteful number, since it uses less digits than its factorization.

135083926165824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4598445237 (or 4598445221 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 135083926165824 in words is "one hundred thirty-five trillion, eighty-three billion, nine hundred twenty-six million, one hundred sixty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3672 4896 7344 9792 14688 29376 4598445199 9196890398 13795335597 18393780796 27590671194 36787561592 41386006791 55181342388 73575123184 78173568383 82772013582 110362684776 124158020373 147150246368 156347136766 165544027164 220725369552 234520705149 248316040746 294300492736 312694273532 331088054328 441450739104 469041410298 496632081492 625388547064 662176108656 703562115447 882901478208 938082820596 993264162984 1250777094128 1324352217312 1407124230894 1876165641192 1986528325968 2110686346341 2501554188256 2648704434624 2814248461788 3752331282384 3973056651936 4221372692682 5003108376512 5628496923576 7504662564768 7946113303872 8442745385364 11256993847152 15009325129536 16885490770728 22513987694304 33770981541456 45027975388608 67541963082912 135083926165824