Search a number
-
+
9996592320 = 2635511132931
BaseRepresentation
bin10010100111101011…
…11110010011000000
3221210200100111200000
421103311332103000
5130433111423240
64331541400000
7502503430011
oct112365762300
927720314600
109996592320
11426a8a7850
121b2ba09000
13c340963b0
146ab917008
153d7938430
hex253d7e4c0

9996592320 has 1344 divisors, whose sum is σ = 44733911040. Its totient is φ = 2090188800.

The previous prime is 9996592301. The next prime is 9996592339. The reversal of 9996592320 is 232956999.

9996592320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9996592301) and next prime (9996592339).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 322470705 + ... + 322470735.

It is an arithmetic number, because the mean of its divisors is an integer number (33284160).

Almost surely, 29996592320 is an apocalyptic number.

9996592320 is a gapful number since it is divisible by the number (90) 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 9996592320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22366955520).

9996592320 is an abundant number, since it is smaller than the sum of its proper divisors (34737318720).

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

9996592320 is a wasteful number, since it uses less digits than its factorization.

9996592320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The square root of 9996592320 is about 99982.9601482173. The cubic root of 9996592320 is about 2154.1899414288.

The spelling of 9996592320 in words is "nine billion, nine hundred ninety-six million, five hundred ninety-two thousand, three hundred twenty".