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56637336196 = 22728921912
BaseRepresentation
bin110100101111110110…
…010010101010000100
312102012011010210012101
4310233312102222010
51411443124224241
642004022401444
74043345262100
oct645766225204
9172164123171
1056637336196
1122024332a71
12ab87890284
135457ba75ac
142a54044900
151717422e31
hexd2fd92a84

56637336196 has 81 divisors (see below), whose sum is σ = 117221173797. Its totient is φ = 23874755520.

The previous prime is 56637336191. The next prime is 56637336199. The reversal of 56637336196 is 69163373665.

The square root of 56637336196 is 237986.

It is a perfect power (a square), and thus also a powerful number.

56637336196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10875569796 + 45761766400 = 104286^2 + 213920^2 .

It is not an unprimeable number, because it can be changed into a prime (56637336191) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 296530461 + ... + 296530651.

Almost surely, 256637336196 is an apocalyptic number.

56637336196 is the 237986-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56637336196

56637336196 is an abundant number, since it is smaller than the sum of its proper divisors (60583837601).

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

56637336196 is an equidigital number, since it uses as much as digits as its factorization.

56637336196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 289 counting only the distinct ones).

The product of its digits is 11022480, while the sum is 55.

The spelling of 56637336196 in words is "fifty-six billion, six hundred thirty-seven million, three hundred thirty-six thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 89 98 178 191 196 356 382 623 764 1246 1337 2492 2674 4361 5348 7921 8722 9359 15842 16999 17444 18718 31684 33998 36481 37436 55447 67996 72962 110894 118993 145924 221788 237986 255367 388129 475972 510734 776258 832951 1021468 1512911 1552516 1665902 1787569 3025822 3246809 3331804 3575138 6051644 6493618 7150276 10590377 12987236 21180754 22727663 42361508 45455326 74132639 90910652 148265278 159093641 288966001 296530556 318187282 577932002 636374564 1155864004 2022762007 4045524014 8091048028 14159334049 28318668098 56637336196