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32664250368 = 211321924909
BaseRepresentation
bin11110011010111100…
…001110100000000000
310010022102112211210200
4132122330032200000
51013344022002433
623001124125200
72234310355431
oct363274164000
9103272484720
1032664250368
1112942132842
1263b7236800
1331073427c9
14181c213488
15cb299b613
hex79af0e800

32664250368 has 216 divisors, whose sum is σ = 99587246850. Its totient is φ = 10312925184.

The previous prime is 32664250343. The next prime is 32664250379. The reversal of 32664250368 is 86305246623.

It is a happy number.

32664250368 is a `hidden beast` number, since 3 + 26 + 64 + 2 + 503 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17729455104 + 14934795264 = 133152^2 + 122208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6651498 + ... + 6656406.

Almost surely, 232664250368 is an apocalyptic number.

32664250368 is a gapful number since it is divisible by the number (38) 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 32664250368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49793623425).

32664250368 is an abundant number, since it is smaller than the sum of its proper divisors (66922996482).

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

32664250368 is a wasteful number, since it uses less digits than its factorization.

32664250368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 32664250368 in words is "thirty-two billion, six hundred sixty-four million, two hundred fifty thousand, three hundred sixty-eight".