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51425513232 = 2433747773797
BaseRepresentation
bin101111111001001100…
…110000111100010000
311220201221011202011020
4233321030300330100
51320304412410412
635342523115440
73500241436002
oct577114607420
9156657152136
1051425513232
111a89a3a8265
129b72372b80
134b071b2192
1426bbba4372
15150eac918c
hexbf9330f10

51425513232 has 160 divisors (see below), whose sum is σ = 139698058752. Its totient is φ = 16282109952.

The previous prime is 51425513231. The next prime is 51425513239. The reversal of 51425513232 is 23231552415.

51425513232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×514255132322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51425513193 and 51425513202.

It is not an unprimeable number, because it can be changed into a prime (51425513231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64523458 + ... + 64524254.

Almost surely, 251425513232 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 51425513232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69849029376).

51425513232 is an abundant number, since it is smaller than the sum of its proper divisors (88272545520).

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

51425513232 is a wasteful number, since it uses less digits than its factorization.

51425513232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1659 counting only the distinct ones).

The product of its digits is 36000, while the sum is 33.

The spelling of 51425513232 in words is "fifty-one billion, four hundred twenty-five million, five hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 47 48 74 94 111 141 148 188 222 282 296 376 444 564 592 752 773 797 888 1128 1546 1594 1739 1776 2256 2319 2391 3092 3188 3478 4638 4782 5217 6184 6376 6956 9276 9564 10434 12368 12752 13912 18552 19128 20868 27824 28601 29489 36331 37104 37459 38256 41736 57202 58978 72662 74918 83472 85803 88467 108993 112377 114404 117956 145324 149836 171606 176934 217986 224754 228808 235912 290648 299672 343212 353868 435972 449508 457616 471824 581296 599344 616081 686424 707736 871944 899016 1232162 1344247 1372848 1385983 1415472 1743888 1798032 1848243 2464324 2688494 2771966 3696486 4032741 4157949 4928648 5376988 5543932 7392972 8065482 8315898 9857296 10753976 11087864 14785944 16130964 16631796 21507952 22175728 22794997 28955807 29571888 32261928 33263592 45589994 57911614 64523856 66527184 68384991 86867421 91179988 115823228 136769982 173734842 182359976 231646456 273539964 347469684 364719952 463292912 547079928 694939368 1071364859 1094159856 1389878736 2142729718 3214094577 4285459436 6428189154 8570918872 12856378308 17141837744 25712756616 51425513232