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9135159264 = 253571121973
BaseRepresentation
bin10001000000111111…
…10111011111100000
3212120122102011200000
420200133313133200
5122202100044024
64110250100000
7442243400250
oct104037673740
925518364600
109135159264
113968617400
12192b41a600
13b277841aa
14629359960
15386ec8cc9
hex2207f77e0

9135159264 has 864 divisors, whose sum is σ = 36111479040. Its totient is φ = 2217093120.

The previous prime is 9135159259. The next prime is 9135159281. The reversal of 9135159264 is 4629515319.

9135159264 is a `hidden beast` number, since 9 + 1 + 3 + 51 + 592 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×91351592642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 125139132 + ... + 125139204.

Almost surely, 29135159264 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 9135159264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18055739520).

9135159264 is an abundant number, since it is smaller than the sum of its proper divisors (26976319776).

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

9135159264 is a wasteful number, since it uses less digits than its factorization.

9135159264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 115 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 9135159264 is about 95578.0270982824. The cubic root of 9135159264 is about 2090.4448176028. Note that the first 3 decimals are identical.

The spelling of 9135159264 in words is "nine billion, one hundred thirty-five million, one hundred fifty-nine thousand, two hundred sixty-four".