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9794034432 = 283371323677
BaseRepresentation
bin10010001111100010…
…10001101100000000
3221021120012111111000
421013301101230000
5130024233100212
64255504052000
7464463630150
oct110761215400
927246174430
109794034432
114176528036
121a94004000
13c01124a60
1468ca6a760
153c4c761dc
hex247c51b00

9794034432 has 576 divisors, whose sum is σ = 37251164160. Its totient is φ = 2467086336.

The previous prime is 9794034413. The next prime is 9794034433. The reversal of 9794034432 is 2344304979.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×97940344322 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9794034433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14466478 + ... + 14467154.

It is an arithmetic number, because the mean of its divisors is an integer number (64672160).

Almost surely, 29794034432 is an apocalyptic number.

9794034432 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 9794034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18625582080).

9794034432 is an abundant number, since it is smaller than the sum of its proper divisors (27457129728).

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

9794034432 is a wasteful number, since it uses less digits than its factorization.

9794034432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 725 counting only the distinct ones).

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

The square root of 9794034432 is about 98964.8141108748. The cubic root of 9794034432 is about 2139.5406496535.

The spelling of 9794034432 in words is "nine billion, seven hundred ninety-four million, thirty-four thousand, four hundred thirty-two".