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8932412664 = 23327223315367
BaseRepresentation
bin10000101000110100…
…11100110011111000
3212001111220120121200
420110122130303320
5121243144201124
64034204334200
7434232153300
oct102432346370
925044816550
108932412664
11387412892a
121893544360
13ac47779a6
1460a460600
153742cabc9
hex21469ccf8

8932412664 has 576 divisors, whose sum is σ = 31345367040. Its totient is φ = 2283240960.

The previous prime is 8932412627. The next prime is 8932412681. The reversal of 8932412664 is 4662142398.

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

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, 133319559 + ... + 133319625.

It is an arithmetic number, because the mean of its divisors is an integer number (54419040).

Almost surely, 28932412664 is an apocalyptic number.

8932412664 is a gapful number since it is divisible by the number (84) 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 8932412664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15672683520).

8932412664 is an abundant number, since it is smaller than the sum of its proper divisors (22412954376).

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

8932412664 is a wasteful number, since it uses less digits than its factorization.

8932412664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 8932412664 is about 94511.4419739748. The cubic root of 8932412664 is about 2074.8637962758.

The spelling of 8932412664 in words is "eight billion, nine hundred thirty-two million, four hundred twelve thousand, six hundred sixty-four".