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9923933838 = 23721321731379
BaseRepresentation
bin10010011111000001…
…10011011010001110
3221121121122001222010
421033200303122032
5130311011340323
64320424202050
7500632021500
oct111740633216
927547561863
109923933838
114232890415
121b0b609326
13c22006800
146a2001d70
153d1384c93
hex24f83368e

9923933838 has 288 divisors, whose sum is σ = 27397647360. Its totient is φ = 2377589760.

The previous prime is 9923933813. The next prime is 9923933917. The reversal of 9923933838 is 8383393299.

9923933838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26184333 + ... + 26184711.

It is an arithmetic number, because the mean of its divisors is an integer number (95130720).

Almost surely, 29923933838 is an apocalyptic number.

9923933838 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9923933838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13698823680).

9923933838 is an abundant number, since it is smaller than the sum of its proper divisors (17473713522).

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

9923933838 is a wasteful number, since it uses less digits than its factorization.

9923933838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 452 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 57.

The square root of 9923933838 is about 99618.9431684557. The cubic root of 9923933838 is about 2148.9581278292.

The spelling of 9923933838 in words is "nine billion, nine hundred twenty-three million, nine hundred thirty-three thousand, eight hundred thirty-eight".