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258163025568 = 2537384171169
BaseRepresentation
bin1111000001101110110…
…1110010011010100000
3220200100211021112001120
43300123231302122200
513212204213304233
6314333133332240
724436343340060
oct3603355623240
9820324245046
10258163025568
119a539330178
124204a337080
131b463311936
14c6d09d53a0
156aae7b84b3
hex3c1bb726a0

258163025568 has 48 divisors (see below), whose sum is σ = 774489078720. Its totient is φ = 73760864256.

The previous prime is 258163025563. The next prime is 258163025569. The reversal of 258163025568 is 865520361852.

It is a happy number.

258163025568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 258163025568.

It is not an unprimeable number, because it can be changed into a prime (258163025563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192084913 + ... + 192086256.

It is an arithmetic number, because the mean of its divisors is an integer number (16135189140).

Almost surely, 2258163025568 is an apocalyptic number.

258163025568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

258163025568 is an abundant number, since it is smaller than the sum of its proper divisors (516326053152).

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

258163025568 is a wasteful number, since it uses less digits than its factorization.

258163025568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384171189 (or 384171181 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 258163025568 in words is "two hundred fifty-eight billion, one hundred sixty-three million, twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 384171169 768342338 1152513507 1536684676 2305027014 2689198183 3073369352 4610054028 5378396366 6146738704 8067594549 9220108056 10756792732 12293477408 16135189098 18440216112 21513585464 32270378196 36880432224 43027170928 64540756392 86054341856 129081512784 258163025568