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112717699680 = 2535443530087
BaseRepresentation
bin110100011111001111…
…1111001101001100000
3101202221111020102110210
41220332133321221200
53321321212342210
6123440511254120
711100151432065
oct1507637715140
9352844212423
10112717699680
1143892226103
1219a18b1a340
13a82456ca21
145654102c6c
152dea9c6e20
hex1a3e7f9a60

112717699680 has 96 divisors (see below), whose sum is σ = 355862916864. Its totient is φ = 29990145536.

The previous prime is 112717699651. The next prime is 112717699687. The reversal of 112717699680 is 86996717211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 112717699680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112717699687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52404 + ... + 477683.

It is an arithmetic number, because the mean of its divisors is an integer number (3706905384).

Almost surely, 2112717699680 is an apocalyptic number.

112717699680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112717699680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177931458432).

112717699680 is an abundant number, since it is smaller than the sum of its proper divisors (243145217184).

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

112717699680 is a wasteful number, since it uses less digits than its factorization.

112717699680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530548 (or 530540 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 57.

The spelling of 112717699680 in words is "one hundred twelve billion, seven hundred seventeen million, six hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 443 480 886 1329 1772 2215 2658 3544 4430 5316 6645 7088 8860 10632 13290 14176 17720 21264 26580 35440 42528 53160 70880 106320 212640 530087 1060174 1590261 2120348 2650435 3180522 4240696 5300870 6361044 7951305 8481392 10601740 12722088 15902610 16962784 21203480 25444176 31805220 42406960 50888352 63610440 84813920 127220880 234828541 254441760 469657082 704485623 939314164 1174142705 1408971246 1878628328 2348285410 2817942492 3522428115 3757256656 4696570820 5635884984 7044856230 7514513312 9393141640 11271769968 14089712460 18786283280 22543539936 28179424920 37572566560 56358849840 112717699680