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80499875625 = 3454132972
BaseRepresentation
bin100101011111000101…
…0101001111100101001
321200210011201101110000
41022332022221330221
52304330432010000
6100551531413213
75546601436641
oct1127612517451
9250704641400
1080499875625
113115a099034
12137272b4209
13778b875400
143c792db521
152162310000
hex12be2a9f29

80499875625 has 225 divisors, whose sum is σ = 164411044281. Its totient is φ = 39222144000.

The previous prime is 80499875623. The next prime is 80499875657. The reversal of 80499875625 is 52657899408.

The square root of 80499875625 is 283725.

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

80499875625 is a `hidden beast` number, since 8 + 0 + 499 + 87 + 5 + 62 + 5 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 45064072089 + 35435803536 = 212283^2 + 188244^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 80499875625 - 21 = 80499875623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (80499875623) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 829895577 + ... + 829895673.

Almost surely, 280499875625 is an apocalyptic number.

80499875625 is the 283725-th square number.

80499875625 is the 141863-rd centered octagonal number.

It is an amenable number.

80499875625 is an abundant number, since it is smaller than the sum of its proper divisors (83911168656).

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

80499875625 is an frugal number, since it uses more digits than its factorization.

80499875625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 80499875625 in words is "eighty billion, four hundred ninety-nine million, eight hundred seventy-five thousand, six hundred twenty-five".