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56536824576 = 2835910911447
BaseRepresentation
bin110100101001110110…
…110111101100000000
312101221011000021011210
4310221312313230000
51411241411341301
641550032210120
74041015036231
oct645166675400
9171834007153
1056536824576
1121a82622111
12ab5a099940
135440114c6b
142a4495d088
15170d6bbad6
hexd29db7b00

56536824576 has 144 divisors (see below), whose sum is σ = 154438099200. Its totient is φ = 18354622464.

The previous prime is 56536824559. The next prime is 56536824583. The reversal of 56536824576 is 67542863565.

56536824576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4933285 + ... + 4944731.

It is an arithmetic number, because the mean of its divisors is an integer number (1072486800).

Almost surely, 256536824576 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 56536824576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77219049600).

56536824576 is an abundant number, since it is smaller than the sum of its proper divisors (97901274624).

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

56536824576 is a wasteful number, since it uses less digits than its factorization.

56536824576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11634 (or 11620 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 57.

The spelling of 56536824576 in words is "fifty-six billion, five hundred thirty-six million, eight hundred twenty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 109 118 128 177 192 218 236 256 327 354 384 436 472 654 708 768 872 944 1308 1416 1744 1888 2616 2832 3488 3776 5232 5664 6431 6976 7552 10464 11328 11447 12862 13952 15104 19293 20928 22656 22894 25724 27904 34341 38586 41856 45312 45788 51448 68682 77172 83712 91576 102896 137364 154344 183152 205792 274728 308688 366304 411584 549456 617376 675373 732608 823168 1098912 1234752 1247723 1350746 1465216 1646336 2026119 2197824 2469504 2495446 2701492 2930432 3743169 4052238 4395648 4939008 4990892 5402984 7486338 8104476 8791296 9981784 10805968 14972676 16208952 19963568 21611936 29945352 32417904 39927136 43223872 59890704 64835808 73615657 79854272 86447744 119781408 129671616 147231314 159708544 172895488 220846971 239562816 259343232 294462628 319417088 441693942 479125632 518686464 588925256 883387884 958251264 1177850512 1766775768 2355701024 3533551536 4711402048 7067103072 9422804096 14134206144 18845608192 28268412288 56536824576