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9013992768 = 2633112192269
BaseRepresentation
bin10000110010100011…
…01001110101000000
3212021012102021111000
420121101221311000
5121430040232033
64050241052000
7436242450204
oct103121516500
925235367430
109013992768
113906189200
1218b6927000
13b0863c341
14617218b04
1537b542a13
hex219469d40

9013992768 has 336 divisors, whose sum is σ = 30674056000. Its totient is φ = 2586608640.

The previous prime is 9013992763. The next prime is 9013992781. The reversal of 9013992768 is 8672993109.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9013992763) 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 47 ways as a sum of consecutive naturals, for example, 3971538 + ... + 3973806.

Almost surely, 29013992768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9013992768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337028000).

9013992768 is an abundant number, since it is smaller than the sum of its proper divisors (21660063232).

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

9013992768 is a wasteful number, since it uses less digits than its factorization.

9013992768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 9013992768 is about 94942.0495249602. The cubic root of 9013992768 is about 2081.1612696853.

The spelling of 9013992768 in words is "nine billion, thirteen million, nine hundred ninety-two thousand, seven hundred sixty-eight".