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257550000825 = 35213264153847
BaseRepresentation
bin1110111111011100101…
…1010010001010111001
3220121210002202122012110
43233313023102022321
513204430300011300
6314152234202533
724415220612655
oct3576713221271
9817702678173
10257550000825
119a254296657
1241ab8b83449
131b3963057c0
14c67341ba65
156a75a76550
hex3bf72d22b9

257550000825 has 24 divisors (see below), whose sum is σ = 458571080128. Its totient is φ = 126793846080.

The previous prime is 257550000791. The next prime is 257550000839. The reversal of 257550000825 is 528000055752.

It is not a de Polignac number, because 257550000825 - 212 = 257549996729 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132075949 + ... + 132077898.

Almost surely, 2257550000825 is an apocalyptic number.

257550000825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257550000825 is a deficient number, since it is larger than the sum of its proper divisors (201021079303).

257550000825 is a wasteful number, since it uses less digits than its factorization.

257550000825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264153873 (or 264153868 counting only the distinct ones).

The product of its (nonzero) digits is 140000, while the sum is 39.

The spelling of 257550000825 in words is "two hundred fifty-seven billion, five hundred fifty million, eight hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 13 15 25 39 65 75 195 325 975 264153847 792461541 1320769235 3434000011 3962307705 6603846175 10302000033 17170000055 19811538525 51510000165 85850000275 257550000825