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52157157600 = 2535234496301
BaseRepresentation
bin110000100100110011…
…110001000011100000
311222121220220010112210
4300210303301003200
51323304213020400
635543300522120
73524334344652
oct604463610340
9158556803483
1052157157600
11201353a0529
12a1373b0340
134bc2950b42
14274b0186d2
151553e4c950
hexc24cf10e0

52157157600 has 144 divisors (see below), whose sum is σ = 169847722800. Its totient is φ = 13902336000.

The previous prime is 52157157599. The next prime is 52157157617. The reversal of 52157157600 is 675175125.

It is a super-2 number, since 2×521571576002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8274450 + ... + 8280750.

It is an arithmetic number, because the mean of its divisors is an integer number (1179498075).

Almost surely, 252157157600 is an apocalyptic number.

52157157600 is a gapful number since it is divisible by the number (50) 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 52157157600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84923861400).

52157157600 is an abundant number, since it is smaller than the sum of its proper divisors (117690565200).

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

52157157600 is a wasteful number, since it uses less digits than its factorization.

52157157600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9773 (or 9760 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 39.

The spelling of 52157157600 in words is "fifty-two billion, one hundred fifty-seven million, one hundred fifty-seven thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 3449 6301 6898 10347 12602 13796 17245 18903 20694 25204 27592 31505 34490 37806 41388 50408 51735 55184 63010 68980 75612 82776 86225 94515 100816 103470 110368 126020 137960 151224 157525 165552 172450 189030 201632 206940 252040 258675 275920 302448 315050 331104 344900 378060 413880 472575 504080 517350 551840 604896 630100 689800 756120 827760 945150 1008160 1034700 1260200 1379600 1512240 1655520 1890300 2069400 2520400 2759200 3024480 3780600 4138800 5040800 7561200 8277600 15122400 21732149 43464298 65196447 86928596 108660745 130392894 173857192 217321490 260785788 325982235 347714384 434642980 521571576 543303725 651964470 695428768 869285960 1043143152 1086607450 1303928940 1629911175 1738571920 2086286304 2173214900 2607857880 3259822350 3477143840 4346429800 5215715760 6519644700 8692859600 10431431520 13039289400 17385719200 26078578800 52157157600