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56564402112 = 263415769499
BaseRepresentation
bin110100101011100000…
…000100011111000000
312102000001220100110000
4310223200010133000
51411320441331422
641552455240000
74041501325221
oct645340043700
9172001810400
1056564402112
1121a97148569
12ab67379000
135445a4c42a
142a4849b248
151710d17cac
hexd2b8047c0

56564402112 has 140 divisors (see below), whose sum is σ = 168745027000. Its totient is φ = 18734436864.

The previous prime is 56564402053. The next prime is 56564402117. The reversal of 56564402112 is 21120446565.

56564402112 is a `hidden beast` number, since 5 + 6 + 5 + 644 + 0 + 2 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56564402117) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 779139 + ... + 848637.

Almost surely, 256564402112 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 56564402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84372513500).

56564402112 is an abundant number, since it is smaller than the sum of its proper divisors (112180624888).

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

56564402112 is a wasteful number, since it uses less digits than its factorization.

56564402112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69680 (or 69661 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 56564402112 its reverse (21120446565), we get a palindrome (77684848677).

The spelling of 56564402112 in words is "fifty-six billion, five hundred sixty-four million, four hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 157 162 192 216 288 314 324 432 471 576 628 648 864 942 1256 1296 1413 1728 1884 2512 2592 2826 3768 4239 5024 5184 5652 7536 8478 10048 11304 12717 15072 16956 22608 25434 30144 33912 45216 50868 67824 69499 90432 101736 135648 138998 203472 208497 271296 277996 406944 416994 555992 625491 813888 833988 1111984 1250982 1667976 1876473 2223968 2501964 3335952 3752946 4447936 5003928 5629419 6671904 7505892 10007856 10911343 11258838 13343808 15011784 20015712 21822686 22517676 30023568 32734029 40031424 43645372 45035352 60047136 65468058 87290744 90070704 98202087 120094272 130936116 174581488 180141408 196404174 261872232 294606261 349162976 360282816 392808348 523744464 589212522 698325952 785616696 883818783 1047488928 1178425044 1571233392 1767637566 2094977856 2356850088 3142466784 3535275132 4713700176 6284933568 7070550264 9427400352 14141100528 18854800704 28282201056 56564402112