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256500424410112 = 2103762929107581
BaseRepresentation
bin111010010100100100101000…
…101011101000010000000000
31020122012012102121010212002001
4322110210220223220100000
5232110000332122110422
62305310400201433344
7105012354426615661
oct7224445053502000
91218165377125061
10256500424410112
1174802245699943
122492760119b854
13b017b6a09984c
14474a98875b368
151e9c270ba1227
hexe94928ae8400

256500424410112 has 88 divisors (see below), whose sum is σ = 526621741334360. Its totient is φ = 124780847431680.

The previous prime is 256500424410103. The next prime is 256500424410133. The reversal of 256500424410112 is 211014424005652.

It can be written as a sum of positive squares in 4 ways, for example, as 123884379472896 + 132616044937216 = 11130336^2 + 11515904^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2384200162 + ... + 2384307742.

Almost surely, 2256500424410112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256500424410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263310870667180).

256500424410112 is an abundant number, since it is smaller than the sum of its proper divisors (270121316924248).

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

256500424410112 is a wasteful number, since it uses less digits than its factorization.

256500424410112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170567 (or 170549 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

Adding to 256500424410112 its reverse (211014424005652), we get a palindrome (467514848415764).

The spelling of 256500424410112 in words is "two hundred fifty-six trillion, five hundred billion, four hundred twenty-four million, four hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 2368 4736 9472 18944 37888 62929 107581 125858 215162 251716 430324 503432 860648 1006864 1721296 2013728 2328373 3442592 3980497 4027456 4656746 6885184 7960994 8054912 9313492 13770368 15921988 16109824 18626984 27540736 31843976 32219648 37253968 55081472 63687952 64439296 74507936 110162944 127375904 149015872 254751808 298031744 509503616 596063488 1019007232 1192126976 2038014464 2384253952 4076028928 6769964749 13539929498 27079858996 54159717992 108319435984 216638871968 250488695713 433277743936 500977391426 866555487872 1001954782852 1733110975744 2003909565704 3466221951488 4007819131408 6932443902976 8015638262816 16031276525632 32062553051264 64125106102528 128250212205056 256500424410112