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56477057120 = 2551150596343
BaseRepresentation
bin110100100110010010…
…111000000001100000
312101202222112202122022
4310212102320001200
51411131111311440
641540055201012
74036361031131
oct644622700140
9171688482568
1056477057120
1121a5190aa20
12ab42076168
135430919ac3
142a3aa41c88
151708312cb5
hexd264b8060

56477057120 has 96 divisors (see below), whose sum is σ = 145608503040. Its totient is φ = 20529815040.

The previous prime is 56477057089. The next prime is 56477057137. The reversal of 56477057120 is 2175077465.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8900669 + ... + 8907011.

It is an arithmetic number, because the mean of its divisors is an integer number (1516755240).

Almost surely, 256477057120 is an apocalyptic number.

It is an amenable number.

56477057120 is an abundant number, since it is smaller than the sum of its proper divisors (89131445920).

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

56477057120 is a wasteful number, since it uses less digits than its factorization.

56477057120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11428 (or 11420 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 44.

The spelling of 56477057120 in words is "fifty-six billion, four hundred seventy-seven million, fifty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 5059 6343 10118 12686 20236 25295 25372 31715 40472 50590 50744 55649 63430 69773 80944 101180 101488 111298 126860 139546 161888 202360 202976 222596 253720 278245 279092 348865 404720 445192 507440 556490 558184 697730 809440 890384 1014880 1112980 1116368 1395460 1780768 2225960 2232736 2790920 4451920 5581840 8903840 11163680 32089237 64178474 128356948 160446185 256713896 320892370 352981607 513427792 641784740 705963214 1026855584 1283569480 1411926428 1764908035 2567138960 2823852856 3529816070 5134277920 5647705712 7059632140 11295411424 14119264280 28238528560 56477057120