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56536724480 = 210533232
BaseRepresentation
bin110100101001110110…
…011111010000000000
312101221010211011212112
4310221312133100000
51411241400140410
641550030114452
74041014141345
oct645166372000
9171833734775
1056536724480
1121a82563995
12ab5a04ba28
1354400ab532
142a449347cc
15170d69c105
hexd29d9f400

56536724480 has 66 divisors (see below), whose sum is σ = 135662710146. Its totient is φ = 22607884288.

The previous prime is 56536724479. The next prime is 56536724513. The reversal of 56536724480 is 8442763565.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 45229379584 + 11307344896 = 212672^2 + 106336^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17012099 + ... + 17015421.

Almost surely, 256536724480 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 56536724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67831355073).

56536724480 is an abundant number, since it is smaller than the sum of its proper divisors (79125985666).

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

56536724480 is an frugal number, since it uses more digits than its factorization.

56536724480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6671 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 50.

The spelling of 56536724480 in words is "fifty-six billion, five hundred thirty-six million, seven hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 3323 5120 6646 13292 16615 26584 33230 53168 66460 106336 132920 212672 265840 425344 531680 850688 1063360 1701376 2126720 3402752 4253440 8506880 11042329 17013760 22084658 44169316 55211645 88338632 110423290 176677264 220846580 353354528 441693160 706709056 883386320 1413418112 1766772640 2826836224 3533545280 5653672448 7067090560 11307344896 14134181120 28268362240 56536724480