Search a number
-
+
256378277076 = 223232932031269
BaseRepresentation
bin1110111011000101010…
…1100000110011010100
3220111202102221220101120
43232301111200303110
513200030314331301
6313440100123540
724344202253515
oct3566125406324
9814672856346
10256378277076
1199802943219
12418306965b0
131b23a63183c
14c5a196ca0c
156a07c73e36
hex3bb1560cd4

256378277076 has 48 divisors (see below), whose sum is σ = 645750403200. Its totient is φ = 78925044352.

The previous prime is 256378277041. The next prime is 256378277101. The reversal of 256378277076 is 670772873652.

256378277076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16007631 + ... + 16023638.

It is an arithmetic number, because the mean of its divisors is an integer number (13453133400).

Almost surely, 2256378277076 is an apocalyptic number.

It is an amenable number.

256378277076 is an abundant number, since it is smaller than the sum of its proper divisors (389372126124).

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

256378277076 is a wasteful number, since it uses less digits than its factorization.

256378277076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32031328 (or 32031326 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 60.

The spelling of 256378277076 in words is "two hundred fifty-six billion, three hundred seventy-eight million, two hundred seventy-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 348 667 1334 2001 2668 4002 8004 32031269 64062538 96093807 128125076 192187614 384375228 736719187 928906801 1473438374 1857813602 2210157561 2786720403 2946876748 3715627204 4420315122 5573440806 8840630244 11146881612 21364856423 42729712846 64094569269 85459425692 128189138538 256378277076