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112297736964 = 223731371995857
BaseRepresentation
bin110100010010101110…
…1110111101100000100
3101201212020000002221010
41220211131313230010
53314441210040324
6123331110122220
711053562005020
oct1504535675404
9351766002833
10112297736964
1143697165986
1219920350370
13a78855bc8a
145614423380
152dc3bbd829
hex1a25777b04

112297736964 has 192 divisors, whose sum is σ = 319125094400. Its totient is φ = 30053928960.

The previous prime is 112297736917. The next prime is 112297737023. The reversal of 112297736964 is 469637792211.

It is a happy number.

It is a super-2 number, since 2×1122977369642 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 19170324 + ... + 19176180.

Almost surely, 2112297736964 is an apocalyptic number.

112297736964 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 112297736964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159562547200).

112297736964 is an abundant number, since it is smaller than the sum of its proper divisors (206827357436).

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

112297736964 is a wasteful number, since it uses less digits than its factorization.

112297736964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6138 (or 6136 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 57.

The spelling of 112297736964 in words is "one hundred twelve billion, two hundred ninety-seven million, seven hundred thirty-six thousand, nine hundred sixty-four".