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23632326432 = 253211132947421
BaseRepresentation
bin10110000000100110…
…001010111100100000
32020222222101120101100
4112000212022330200
5341344333421212
614505002434400
71464426313611
oct260046127440
966888346340
1023632326432
11a0279176a0
1246b6502a00
1322c8095910
14120288bc08
15934ab5bdc
hex58098af20

23632326432 has 576 divisors, whose sum is σ = 83611906560. Its totient is φ = 6231859200.

The previous prime is 23632326413. The next prime is 23632326437. The reversal of 23632326432 is 23462323632.

23632326432 is a `hidden beast` number, since 2 + 3 + 6 + 3 + 2 + 3 + 2 + 643 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23632326437) 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 95 ways as a sum of consecutive naturals, for example, 56133582 + ... + 56134002.

It is an arithmetic number, because the mean of its divisors is an integer number (145159560).

Almost surely, 223632326432 is an apocalyptic number.

23632326432 is a gapful number since it is divisible by the number (22) 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 23632326432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41805953280).

23632326432 is an abundant number, since it is smaller than the sum of its proper divisors (59979580128).

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

23632326432 is a wasteful number, since it uses less digits than its factorization.

23632326432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The spelling of 23632326432 in words is "twenty-three billion, six hundred thirty-two million, three hundred twenty-six thousand, four hundred thirty-two".