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53506135920 = 24351783158003
BaseRepresentation
bin110001110101001101…
…101101011101110000
312010002221020022220210
4301311031231131300
51334040032322140
640325210104120
73602634436236
oct616515553560
9163087208823
1053506135920
1120767900946
12a45311b040
135079277173
142838248956
1515d25b4d80
hexc7536d770

53506135920 has 160 divisors (see below), whose sum is σ = 177743123712. Its totient is φ = 13267111936.

The previous prime is 53506135871. The next prime is 53506135931. The reversal of 53506135920 is 2953160535.

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, 259639 + ... + 417641.

Almost surely, 253506135920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53506135920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88871561856).

53506135920 is an abundant number, since it is smaller than the sum of its proper divisors (124236987792).

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

53506135920 is a wasteful number, since it uses less digits than its factorization.

53506135920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158119 (or 158113 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 39.

The spelling of 53506135920 in words is "fifty-three billion, five hundred six million, one hundred thirty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 83 85 102 120 136 166 170 204 240 249 255 272 332 340 408 415 498 510 664 680 816 830 996 1020 1245 1328 1360 1411 1660 1992 2040 2490 2822 3320 3984 4080 4233 4980 5644 6640 7055 8466 9960 11288 14110 16932 19920 21165 22576 28220 33864 42330 56440 67728 84660 112880 158003 169320 316006 338640 474009 632012 790015 948018 1264024 1580030 1896036 2370045 2528048 2686051 3160060 3792072 4740090 5372102 6320120 7584144 8058153 9480180 10744204 12640240 13114249 13430255 16116306 18960360 21488408 26228498 26860510 32232612 37920720 39342747 40290765 42976816 52456996 53721020 64465224 65571245 78685494 80581530 104913992 107442040 128930448 131142490 157370988 161163060 196713735 209827984 214884080 222942233 262284980 314741976 322326120 393427470 445884466 524569960 629483952 644652240 668826699 786854940 891768932 1049139920 1114711165 1337653398 1573709880 1783537864 2229422330 2675306796 3147419760 3344133495 3567075728 4458844660 5350613592 6688266990 8917689320 10701227184 13376533980 17835378640 26753067960 53506135920