Search a number
-
+
56536862720 = 212513212353
BaseRepresentation
bin110100101001110111…
…000001000000000000
312101221011002012111112
4310221313001000000
51411241414101340
641550033102452
74041015255362
oct645167010000
9171834065445
1056536862720
1121a82648838
12ab5a0b7a28
135440129430
142a4496cd32
15170d6c8065
hexd29dc1000

56536862720 has 104 divisors (see below), whose sum is σ = 146108895576. Its totient is φ = 20875051008.

The previous prime is 56536862717. The next prime is 56536862737. The reversal of 56536862720 is 2726863565.

It can be written as a sum of positive squares in 4 ways, for example, as 4128833536 + 52408029184 = 64256^2 + 228928^2 .

It is a tau number, because it is divible by the number of its divisors (104).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160064 + ... + 372416.

Almost surely, 256536862720 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 56536862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73054447788).

56536862720 is an abundant number, since it is smaller than the sum of its proper divisors (89572032856).

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

56536862720 is a wasteful number, since it uses less digits than its factorization.

56536862720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212395 (or 212373 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 50.

The spelling of 56536862720 in words is "fifty-six billion, five hundred thirty-six million, eight hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1664 2048 2080 2560 3328 4096 4160 5120 6656 8320 10240 13312 16640 20480 26624 33280 53248 66560 133120 212353 266240 424706 849412 1061765 1698824 2123530 2760589 3397648 4247060 5521178 6795296 8494120 11042356 13590592 13802945 16988240 22084712 27181184 27605890 33976480 44169424 54362368 55211780 67952960 88338848 108724736 110423560 135905920 176677696 217449472 220847120 271811840 353355392 434898944 441694240 543623680 706710784 869797888 883388480 1087247360 1413421568 1766776960 2174494720 2826843136 3533553920 4348989440 5653686272 7067107840 11307372544 14134215680 28268431360 56536862720