Search a number
-
+
256657077234 = 232234314417317
BaseRepresentation
bin1110111100000111110…
…1000011001111110010
3220112110212120102022100
43233001331003033302
513201113202432414
6313523455521230
724354126106125
oct3570175031762
9815425512270
10256657077234
1199936257978
12418a9b29216
131b28331904c
14c5ca9c43bc
156a22496609
hex3bc1f433f2

256657077234 has 48 divisors (see below), whose sum is σ = 593762824512. Its totient is φ = 79929599904.

The previous prime is 256657077197. The next prime is 256657077241. The reversal of 256657077234 is 432770756652.

It is a happy number.

256657077234 is a `hidden beast` number, since 2 + 5 + 66 + 570 + 7 + 7 + 2 + 3 + 4 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7190857 + ... + 7226460.

It is an arithmetic number, because the mean of its divisors is an integer number (12370058844).

Almost surely, 2256657077234 is an apocalyptic number.

256657077234 is an abundant number, since it is smaller than the sum of its proper divisors (337105747278).

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

256657077234 is a wasteful number, since it uses less digits than its factorization.

256657077234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14417391 (or 14417388 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 256657077234 in words is "two hundred fifty-six billion, six hundred fifty-seven million, seventy-seven thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 43 46 69 86 129 138 207 258 387 414 774 989 1978 2967 5934 8901 17802 14417317 28834634 43251951 86503902 129755853 259511706 331598291 619944631 663196582 994794873 1239889262 1859833893 1989589746 2984384619 3719667786 5579501679 5968769238 11159003358 14258726513 28517453026 42776179539 85552359078 128328538617 256657077234