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9944730432 = 26327132373113
BaseRepresentation
bin10010100001100000…
…01000101101000000
3221200001202122112100
421100300020231000
5130331322333212
64322450030400
7501303546120
oct112060105500
927601678470
109944730432
1142435a518a
121b16578400
13c264086a0
146a4a96c80
153d30e1bdc
hex250c08b40

9944730432 has 672 divisors, whose sum is σ = 37438023168. Its totient is φ = 2452488192.

The previous prime is 9944730413. The next prime is 9944730437. The reversal of 9944730432 is 2340374499.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9944730437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88006408 + ... + 88006520.

It is an arithmetic number, because the mean of its divisors is an integer number (55711344).

Almost surely, 29944730432 is an apocalyptic number.

9944730432 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 9944730432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18719011584).

9944730432 is an abundant number, since it is smaller than the sum of its proper divisors (27493292736).

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

9944730432 is a wasteful number, since it uses less digits than its factorization.

9944730432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 9944730432 is about 99723.2692604890. The cubic root of 9944730432 is about 2150.4581992247.

The spelling of 9944730432 in words is "nine billion, nine hundred forty-four million, seven hundred thirty thousand, four hundred thirty-two".