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258909488900 = 225223112569343
BaseRepresentation
bin1111000100100000110…
…1010100011100000100
3220202021211212210020122
43301020031110130010
513220221312121100
6314535200521112
724464006226026
oct3611015243404
9822254783218
10258909488900
119a891725117
1242218320198
131b551b6b70a
14c761bc6016
156b050b7985
hex3c48354704

258909488900 has 36 divisors (see below), whose sum is σ = 586261143552. Its totient is φ = 99061020960.

The previous prime is 258909488899. The next prime is 258909488921. The reversal of 258909488900 is 9884909852.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56282372 + ... + 56286971.

Almost surely, 2258909488900 is an apocalyptic number.

258909488900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258909488900 is an abundant number, since it is smaller than the sum of its proper divisors (327351654652).

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

258909488900 is a wasteful number, since it uses less digits than its factorization.

258909488900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112569380 (or 112569373 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 62.

The spelling of 258909488900 in words is "two hundred fifty-eight billion, nine hundred nine million, four hundred eighty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 112569343 225138686 450277372 562846715 1125693430 2251386860 2589094889 2814233575 5178189778 5628467150 10356379556 11256934300 12945474445 25890948890 51781897780 64727372225 129454744450 258909488900