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56227563072 = 2633317102647
BaseRepresentation
bin110100010111011011…
…001000011001000000
312101010121002011011000
4310113123020121000
51410123224004242
641455223452000
74030241254212
oct642733103100
9171117064130
1056227563072
1121933aa239a
12aa925b7000
1353c10237a5
142a158585b2
1516e147da4c
hexd176c8640

56227563072 has 112 divisors (see below), whose sum is σ = 165821685120. Its totient is φ = 18683214336.

The previous prime is 56227563071. The next prime is 56227563131. The reversal of 56227563072 is 27036572265.

56227563072 is a `hidden beast` number, since 5 + 6 + 2 + 2 + 7 + 5 + 630 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (56227563071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496453 + ... + 599099.

It is an arithmetic number, because the mean of its divisors is an integer number (1480550760).

Almost surely, 256227563072 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 56227563072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82910842560).

56227563072 is an abundant number, since it is smaller than the sum of its proper divisors (109594122048).

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

56227563072 is a wasteful number, since it uses less digits than its factorization.

56227563072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102985 (or 102969 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 56227563072 in words is "fifty-six billion, two hundred twenty-seven million, five hundred sixty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 317 432 576 634 864 951 1268 1728 1902 2536 2853 3804 5072 5706 7608 8559 10144 11412 15216 17118 20288 22824 30432 34236 45648 60864 68472 91296 102647 136944 182592 205294 273888 307941 410588 547776 615882 821176 923823 1231764 1642352 1847646 2463528 2771469 3284704 3695292 4927056 5542938 6569408 7390584 9854112 11085876 14781168 19708224 22171752 29562336 32539099 44343504 59124672 65078198 88687008 97617297 130156396 177374016 195234594 260312792 292851891 390469188 520625584 585703782 780938376 878555673 1041251168 1171407564 1561876752 1757111346 2082502336 2342815128 3123753504 3514222692 4685630256 6247507008 7028445384 9371260512 14056890768 18742521024 28113781536 56227563072