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112483050624 = 27337311271181
BaseRepresentation
bin110100011000010000…
…0110010010010000000
3101202100010201000111000
41220300200302102000
53320331130104444
6123401330052000
711061302104050
oct1506040622200
9352303630430
10112483050624
114378182786a
121997241a000
13a7b7a73629
145630ca1560
152dd50c6469
hex1a30832480

112483050624 has 512 divisors, whose sum is σ = 395064115200. Its totient is φ = 30830284800.

The previous prime is 112483050623. The next prime is 112483050653. The reversal of 112483050624 is 426050384211.

It is a happy number.

112483050624 is a `hidden beast` number, since 1 + 1 + 24 + 8 + 3 + 0 + 5 + 0 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (112483050623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95243314 + ... + 95244494.

It is an arithmetic number, because the mean of its divisors is an integer number (771609600).

Almost surely, 2112483050624 is an apocalyptic number.

112483050624 is a gapful number since it is divisible by the number (14) 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 112483050624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197532057600).

112483050624 is an abundant number, since it is smaller than the sum of its proper divisors (282581064576).

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

112483050624 is a wasteful number, since it uses less digits than its factorization.

112483050624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 112483050624 in words is "one hundred twelve billion, four hundred eighty-three million, fifty thousand, six hundred twenty-four".