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9942412032 = 28327323547
BaseRepresentation
bin10010100001001110…
…10010101100000000
3221122220101212021200
421100213102230000
5130330224141112
64322324221200
7501245052000
oct112047225400
927586355250
109942412032
114242261353
121b1583a800
13c25aa6357
146a4652000
153d2cd4cdc
hex2509d2b00

9942412032 has 432 divisors, whose sum is σ = 34947494400. Its totient is φ = 2712213504.

The previous prime is 9942412027. The next prime is 9942412057. The reversal of 9942412032 is 2302142499.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18175983 + ... + 18176529.

Almost surely, 29942412032 is an apocalyptic number.

9942412032 is a gapful number since it is divisible by the number (92) 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 9942412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17473747200).

9942412032 is an abundant number, since it is smaller than the sum of its proper divisors (25005082368).

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

9942412032 is a wasteful number, since it uses less digits than its factorization.

9942412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9942412032 is about 99711.6444152838. The cubic root of 9942412032 is about 2150.2910752119.

The spelling of 9942412032 in words is "nine billion, nine hundred forty-two million, four hundred twelve thousand, thirty-two".