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112457604336 = 243711311079173
BaseRepresentation
bin110100010111011111…
…1101101110011110000
3101202021100211012201220
41220232333231303300
53320303121314321
6123355020425040
711060542602450
oct1505677556360
9352240735656
10112457604336
1143769427680
12199659a8180
13a7b270425c
14562b759d60
152dd2c4b9c6
hex1a2efedcf0

112457604336 has 320 divisors, whose sum is σ = 377420414976. Its totient is φ = 28000281600.

The previous prime is 112457604331. The next prime is 112457604353. The reversal of 112457604336 is 633406754211.

112457604336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112457604331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12255046 + ... + 12264218.

Almost surely, 2112457604336 is an apocalyptic number.

112457604336 is a gapful number since it is divisible by the number (16) 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 112457604336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188710207488).

112457604336 is an abundant number, since it is smaller than the sum of its proper divisors (264962810640).

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

112457604336 is a wasteful number, since it uses less digits than its factorization.

112457604336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9340 (or 9334 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 112457604336 in words is "one hundred twelve billion, four hundred fifty-seven million, six hundred four thousand, three hundred thirty-six".