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20325725280 = 253557247227
BaseRepresentation
bin10010111011100000…
…011111010001100000
31221110112102211100000
4102323200133101200
5313111341202110
613200522500000
71316455546200
oct227340372140
957415384300
1020325725280
118690384273
123b33064600
131bbc011aa3
14dab674400
157de65c1c0
hex4bb81f460

20325725280 has 864 divisors, whose sum is σ = 85830990336. Its totient is φ = 4527000576.

The previous prime is 20325725239. The next prime is 20325725281. The reversal of 20325725280 is 8252752302.

It is a happy number.

20325725280 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 572 + 5 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20325725281) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89540527 + ... + 89540753.

It is an arithmetic number, because the mean of its divisors is an integer number (99341424).

Almost surely, 220325725280 is an apocalyptic number.

20325725280 is a gapful number since it is divisible by the number (20) 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 20325725280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42915495168).

20325725280 is an abundant number, since it is smaller than the sum of its proper divisors (65505265056).

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

20325725280 is a wasteful number, since it uses less digits than its factorization.

20325725280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 20325725280 in words is "twenty billion, three hundred twenty-five million, seven hundred twenty-five thousand, two hundred eighty".