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256669000260 = 223514934338363
BaseRepresentation
bin1110111100001010101…
…0100010001001000100
3220112111201000011121220
43233002222202021010
513201124231002020
6313525003240340
724354332335131
oct3570252421104
9815451004556
10256669000260
1199941a60912
12418b1b190b0
131b285931caa
14c5cc409588
156a2354e240
hex3bc2aa2244

256669000260 has 96 divisors (see below), whose sum is σ = 723793795200. Its totient is φ = 67957773312.

The previous prime is 256669000171. The next prime is 256669000309. The reversal of 256669000260 is 62000966652.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30686839 + ... + 30695201.

It is an arithmetic number, because the mean of its divisors is an integer number (7539518700).

Almost surely, 2256669000260 is an apocalyptic number.

256669000260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256669000260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361896897600).

256669000260 is an abundant number, since it is smaller than the sum of its proper divisors (467124794940).

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

256669000260 is a wasteful number, since it uses less digits than its factorization.

256669000260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11957 (or 11955 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 256669000260 in words is "two hundred fifty-six billion, six hundred sixty-nine million, two hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1788 2235 2980 3433 4470 6866 8363 8940 10299 13732 16726 17165 20598 25089 33452 34330 41196 41815 50178 51495 68660 83630 100356 102990 125445 167260 205980 250890 501780 511517 1023034 1246087 1534551 2046068 2492174 2557585 3069102 3738261 4984348 5115170 6138204 6230435 7476522 7672755 10230340 12460870 14953044 15345510 18691305 24921740 28710179 30691020 37382610 57420358 74765220 86130537 114840716 143550895 172261074 287101790 344522148 430652685 574203580 861305370 1722610740 4277816671 8555633342 12833450013 17111266684 21389083355 25666900026 42778166710 51333800052 64167250065 85556333420 128334500130 256669000260