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113756285640 = 23352623736131
BaseRepresentation
bin110100111110001100…
…1110010101011001000
3101212121212112001120110
41221330121302223020
53330433102120030
6124131531554320
711134662321354
oct1517431625310
9355555461513
10113756285640
1144275504108
121a0688bb9a0
13a95b799c2a
145712016464
152e5bc7b1b0
hex1a7c672ac8

113756285640 has 64 divisors (see below), whose sum is σ = 341291309760. Its totient is φ = 30333013760.

The previous prime is 113756285639. The next prime is 113756285647. The reversal of 113756285640 is 46582657311.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 113756285640.

It is not an unprimeable number, because it can be changed into a prime (113756285647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3130375 + ... + 3166505.

It is an arithmetic number, because the mean of its divisors is an integer number (5332676715).

Almost surely, 2113756285640 is an apocalyptic number.

113756285640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113756285640 is an abundant number, since it is smaller than the sum of its proper divisors (227535024120).

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

113756285640 is a wasteful number, since it uses less digits than its factorization.

113756285640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62382 (or 62378 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 113756285640 in words is "one hundred thirteen billion, seven hundred fifty-six million, two hundred eighty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 26237 36131 52474 72262 78711 104948 108393 131185 144524 157422 180655 209896 216786 262370 289048 314844 361310 393555 433572 524740 541965 629688 722620 787110 867144 1049480 1083930 1445240 1574220 2167860 3148440 4335720 947969047 1895938094 2843907141 3791876188 4739845235 5687814282 7583752376 9479690470 11375628564 14219535705 18959380940 22751257128 28439071410 37918761880 56878142820 113756285640