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56375017760 = 2553113782963
BaseRepresentation
bin110100100000001101…
…101000000100100000
312101111212112121221202
4310200031220010200
51410424001032020
641522012140332
74034011513235
oct644015500440
9171455477852
1056375017760
11219aa256276
12ab13a676a8
135415740c99
142a2b27d78c
1516ee3a8e75
hexd20368120

56375017760 has 96 divisors (see below), whose sum is σ = 138487491072. Its totient is φ = 21663037440.

The previous prime is 56375017747. The next prime is 56375017771. The reversal of 56375017760 is 6771057365.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638039 + ... + 721001.

It is an arithmetic number, because the mean of its divisors is an integer number (1442578032).

Almost surely, 256375017760 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 56375017760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69243745536).

56375017760 is an abundant number, since it is smaller than the sum of its proper divisors (82112473312).

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

56375017760 is a wasteful number, since it uses less digits than its factorization.

56375017760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83146 (or 83138 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 47.

The spelling of 56375017760 in words is "fifty-six billion, three hundred seventy-five million, seventeen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 137 155 160 248 274 310 496 548 620 685 992 1096 1240 1370 2192 2480 2740 4247 4384 4960 5480 8494 10960 16988 21235 21920 33976 42470 67952 82963 84940 135904 165926 169880 331852 339760 414815 663704 679520 829630 1327408 1659260 2571853 2654816 3318520 5143706 6637040 10287412 11365931 12859265 13274080 20574824 22731862 25718530 41149648 45463724 51437060 56829655 82299296 90927448 102874120 113659310 181854896 205748240 227318620 352343861 363709792 411496480 454637240 704687722 909274480 1409375444 1761719305 1818548960 2818750888 3523438610 5637501776 7046877220 11275003552 14093754440 28187508880 56375017760