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256626465264 = 243213983913933
BaseRepresentation
bin1110111100000000100…
…0010001100111110000
3220112101201222011120200
43233000020101213300
513201032333342024
6313520443435200
724353304651321
oct3570010214760
9815351864520
10256626465264
119991aa49724
124189b825b00
131b279b8b660
14c5c68d6448
156a1e94b2c9
hex3bc02119f0

256626465264 has 120 divisors (see below), whose sum is σ = 773577779520. Its totient is φ = 78948297216.

The previous prime is 256626465229. The next prime is 256626465323. The reversal of 256626465264 is 462564626652.

256626465264 is a `hidden beast` number, since 2 + 5 + 6 + 626 + 4 + 6 + 5 + 2 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 256626465264.

It is a congruent 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, 18411642 + ... + 18425574.

It is an arithmetic number, because the mean of its divisors is an integer number (6446481496).

Almost surely, 2256626465264 is an apocalyptic number.

256626465264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256626465264 is an abundant number, since it is smaller than the sum of its proper divisors (516951314256).

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

256626465264 is a wasteful number, since it uses less digits than its factorization.

256626465264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23799 (or 23790 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 256626465264 in words is "two hundred fifty-six billion, six hundred twenty-six million, four hundred sixty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 9839 13933 19678 27866 29517 39356 41799 55732 59034 78712 83598 88551 111464 118068 125397 127907 157424 167196 177102 181129 222928 236136 250794 255814 334392 354204 362258 383721 472272 501588 511628 543387 668784 708408 724516 767442 1003176 1023256 1086774 1151163 1416816 1449032 1534884 1630161 2006352 2046512 2173548 2302326 2898064 3069768 3260322 4347096 4604652 6139536 6520644 8694192 9209304 13041288 18418608 26082576 137086787 274173574 411260361 548347148 822520722 1096694296 1233781083 1645041444 1782128231 2193388592 2467562166 3290082888 3564256462 4935124332 5346384693 6580165776 7128512924 9870248664 10692769386 14257025848 16039154079 19740497328 21385538772 28514051696 32078308158 42771077544 64156616316 85542155088 128313232632 256626465264