Search a number
-
+
256544117106 = 231716738339323
BaseRepresentation
bin1110111011101100111…
…0001001000101110010
3220112012000000110010220
43232323032021011302
513200400243221411
6313504342433510
724351255005244
oct3567316110562
9815160013126
10256544117106
11998885142a2
1241878132896
131b265ab8534
14c5b99bc094
156a175d1b06
hex3bbb389172

256544117106 has 64 divisors (see below), whose sum is σ = 547963895808. Its totient is φ = 79791573248.

The previous prime is 256544117101. The next prime is 256544117177. The reversal of 256544117106 is 601711445652.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (256544117101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6504361 + ... + 6543683.

It is an arithmetic number, because the mean of its divisors is an integer number (8561935872).

Almost surely, 2256544117106 is an apocalyptic number.

256544117106 is an abundant number, since it is smaller than the sum of its proper divisors (291419778702).

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

256544117106 is a wasteful number, since it uses less digits than its factorization.

256544117106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39895.

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 256544117106 in words is "two hundred fifty-six billion, five hundred forty-four million, one hundred seventeen thousand, one hundred six".

Divisors: 1 2 3 6 17 34 51 102 167 334 383 501 766 1002 1149 2298 2839 5678 6511 8517 13022 17034 19533 39066 39323 63961 78646 117969 127922 191883 235938 383766 668491 1087337 1336982 2005473 2174674 3262011 4010946 6524022 6566941 13133882 15060709 19700823 30121418 39401646 45182127 90364254 111637997 223275994 256032053 334913991 512064106 669827982 768096159 1536192318 2515138403 5030276806 7545415209 15090830418 42757352851 85514705702 128272058553 256544117106