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56559969920 = 275892933389
BaseRepresentation
bin110100101011001111…
…001010011010000000
312101222202120011121202
4310223033022122000
51411313323014140
641552220240332
74041415545326
oct645317123200
9171882504552
1056559969920
1121a946a05a3
12ab659a00a8
135444b59c2c
142a47a65d16
15171073e915
hexd2b3ca680

56559969920 has 128 divisors (see below), whose sum is σ = 137240082000. Its totient is φ = 22286860288.

The previous prime is 56559969919. The next prime is 56559969931. The reversal of 56559969920 is 2996995565.

It can be written as a sum of positive squares in 8 ways, for example, as 46300710976 + 10259258944 = 215176^2 + 101288^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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, 16687586 + ... + 16690974.

Almost surely, 256559969920 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 56559969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68620041000).

56559969920 is an abundant number, since it is smaller than the sum of its proper divisors (80680112080).

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

56559969920 is a wasteful number, since it uses less digits than its factorization.

56559969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 59049000, while the sum is 65.

The spelling of 56559969920 in words is "fifty-six billion, five hundred fifty-nine million, nine hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 293 320 356 445 586 640 712 890 1172 1424 1465 1780 2344 2848 2930 3389 3560 4688 5696 5860 6778 7120 9376 11392 11720 13556 14240 16945 18752 23440 26077 27112 28480 33890 37504 46880 52154 54224 56960 67780 93760 104308 108448 130385 135560 187520 208616 216896 260770 271120 301621 417232 433792 521540 542240 603242 834464 992977 1043080 1084480 1206484 1508105 1668928 1985954 2086160 2168960 2412968 3016210 3337856 3971908 4172320 4825936 4964885 6032420 7943816 8344640 9651872 9929770 12064840 15887632 16689280 19303744 19859540 24129680 31775264 38607488 39719080 48259360 63550528 79438160 88374953 96518720 127101056 158876320 176749906 193037440 317752640 353499812 441874765 635505280 706999624 883749530 1413999248 1767499060 2827998496 3534998120 5655996992 7069996240 11311993984 14139992480 28279984960 56559969920