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21488000625 = 335472131999
BaseRepresentation
bin10100000000110010…
…001101111001110001
32001110112110112101000
4110000302031321301
5323001412010000
613512122232213
71360330664100
oct240062157161
961415415330
1021488000625
119127463a03
1241b8355669
132045a58290
14107bb84037
1585b6e5000
hex500c8de71

21488000625 has 240 divisors, whose sum is σ = 49859040000. Its totient is φ = 9062928000.

The previous prime is 21488000621. The next prime is 21488000669. The reversal of 21488000625 is 52600088412.

21488000625 is a `hidden beast` number, since 21 + 4 + 8 + 8 + 0 + 0 + 0 + 625 = 666.

It is not a de Polignac number, because 21488000625 - 22 = 21488000621 is a prime.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 21488000625 = 1453 + 27803 = 9303 + 27453.

It is a self number, because there is not a number n which added to its sum of digits gives 21488000625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21488000621) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10748376 + ... + 10750374.

It is an arithmetic number, because the mean of its divisors is an integer number (207746000).

Almost surely, 221488000625 is an apocalyptic number.

21488000625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21488000625 is an abundant number, since it is smaller than the sum of its proper divisors (28371039375).

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

21488000625 is a wasteful number, since it uses less digits than its factorization.

21488000625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 21488000625 in words is "twenty-one billion, four hundred eighty-eight million, six hundred twenty-five", and thus it is an aban number.