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9232135056 = 24341721572
BaseRepresentation
bin10001001100100011…
…10011001110010000
3212211101220001110000
420212101303032100
5122401411310211
64124032410000
7444531565434
oct104621631620
925741801400
109232135056
113a08332791
1219579a6900
13b418a9311
146381a09c4
15390782656
hex226473390

9232135056 has 225 divisors, whose sum is σ = 28566674499. Its totient is φ = 2877907968.

The previous prime is 9232135043. The next prime is 9232135057. The reversal of 9232135056 is 6505312329.

The square root of 9232135056 is 96084.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 62157456 + 9169977600 = 7884^2 + 95760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 9232135056.

It is not an unprimeable number, because it can be changed into a prime (9232135057) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 58803330 + ... + 58803486.

Almost surely, 29232135056 is an apocalyptic number.

9232135056 is the 96084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9232135056

9232135056 is an abundant number, since it is smaller than the sum of its proper divisors (19334539443).

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

9232135056 is a wasteful number, since it uses less digits than its factorization.

9232135056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The cubic root of 9232135056 is about 2097.8159497311.

Multiplying 9232135056 by its sum of digits (36), we get a square (332356862016 = 5765042).

9232135056 divided by its sum of digits (36) gives a square (256448196 = 160142).

The spelling of 9232135056 in words is "nine billion, two hundred thirty-two million, one hundred thirty-five thousand, fifty-six".