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56718929760 = 2535269439273
BaseRepresentation
bin110100110100101101…
…100010111101100000
312102101211200011112020
4310310231202331200
51412130021223020
642020055301440
74045355643153
oct646455427540
9172354604466
1056718929760
11220663a2469
12abab07a880
13546ba750cc
142a60c03c9a
15171e68dc40
hexd34b62f60

56718929760 has 96 divisors (see below), whose sum is σ = 179329217760. Its totient is φ = 15068786688.

The previous prime is 56718929749. The next prime is 56718929779. The reversal of 56718929760 is 6792981765.

56718929760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 56718929694 and 56718929703.

It is a congruent number.

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, 90517 + ... + 348756.

It is an arithmetic number, because the mean of its divisors is an integer number (1868012685).

Almost surely, 256718929760 is an apocalyptic number.

It is an amenable number.

56718929760 is an abundant number, since it is smaller than the sum of its proper divisors (122610288000).

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

56718929760 is a wasteful number, since it uses less digits than its factorization.

56718929760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439560 (or 439552 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 56718929760 in words is "fifty-six billion, seven hundred eighteen million, nine hundred twenty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 269 480 538 807 1076 1345 1614 2152 2690 3228 4035 4304 5380 6456 8070 8608 10760 12912 16140 21520 25824 32280 43040 64560 129120 439273 878546 1317819 1757092 2196365 2635638 3514184 4392730 5271276 6589095 7028368 8785460 10542552 13178190 14056736 17570920 21085104 26356380 35141840 42170208 52712760 70283680 105425520 118164437 210851040 236328874 354493311 472657748 590822185 708986622 945315496 1181644370 1417973244 1772466555 1890630992 2363288740 2835946488 3544933110 3781261984 4726577480 5671892976 7089866220 9453154960 11343785952 14179732440 18906309920 28359464880 56718929760