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112495563180 = 2233572111322287
BaseRepresentation
bin110100011000101000…
…0100001000110101100
3101202101000020201111000
41220301100201012230
53320342331010210
6123402454200300
711061513336600
oct1506120410654
9352330221430
10112495563180
11437888a3720
1219976653090
13a7ba534a00
1456327db500
152dd6248ac0
hex1a314211ac

112495563180 has 864 divisors, whose sum is σ = 481141140480. Its totient is φ = 21568135680.

The previous prime is 112495563161. The next prime is 112495563197. The reversal of 112495563180 is 81365594211.

It is a happy number.

112495563180 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 9 + 5 + 5 + 631 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 49187997 + ... + 49190283.

It is an arithmetic number, because the mean of its divisors is an integer number (556876320).

Almost surely, 2112495563180 is an apocalyptic number.

112495563180 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 112495563180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240570570240).

112495563180 is an abundant number, since it is smaller than the sum of its proper divisors (368645577300).

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

112495563180 is a wasteful number, since it uses less digits than its factorization.

112495563180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 112495563180 in words is "one hundred twelve billion, four hundred ninety-five million, five hundred sixty-three thousand, one hundred eighty".