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9232645680 = 2434519314159
BaseRepresentation
bin10001001100100111…
…01111111000110000
3212211102211222220000
420212103233320300
5122402024130210
64124051350000
7444536123226
oct104623577060
925742758800
109232645680
113a08651395
121957bb2300
13b41a2786b
14638294b16
15390833ac0
hex2264efe30

9232645680 has 800 divisors, whose sum is σ = 36297676800. Its totient is φ = 2164838400.

The previous prime is 9232645679. The next prime is 9232645687. The reversal of 9232645680 is 865462329.

9232645680 is a `hidden beast` number, since 9 + 23 + 2 + 64 + 568 + 0 = 666.

9232645680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9232645687) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 156485491 + ... + 156485549.

It is an arithmetic number, because the mean of its divisors is an integer number (45372096).

Almost surely, 29232645680 is an apocalyptic number.

9232645680 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 9232645680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18148838400).

9232645680 is an abundant number, since it is smaller than the sum of its proper divisors (27065031120).

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

9232645680 is a wasteful number, since it uses less digits than its factorization.

9232645680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 9232645680 is about 96086.6571382312. The cubic root of 9232645680 is about 2097.8546253432.

The spelling of 9232645680 in words is "nine billion, two hundred thirty-two million, six hundred forty-five thousand, six hundred eighty".