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256512041233 = 7246181113357
BaseRepresentation
bin1110111011100101001…
…1110010000100010001
3220112002202122211022121
43232321103302010101
513200314040304413
6313501235134241
724350415242500
oct3567123620421
9815082584277
10256512041233
11998713a6208
1241869444381
131b25c267726
14c5b562c837
156a14897b8d
hex3bb94f2111

256512041233 has 12 divisors (see below), whose sum is σ = 298400651892. Its totient is φ = 219860763360.

The previous prime is 256512041207. The next prime is 256512041237. The reversal of 256512041233 is 332140215652.

256512041233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 86584239504 + 169927801729 = 294252^2 + 412223^2 .

It is not a de Polignac number, because 256512041233 - 225 = 256478486801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256512041237) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2206191 + ... + 2319547.

It is an arithmetic number, because the mean of its divisors is an integer number (24866720991).

Almost surely, 2256512041233 is an apocalyptic number.

It is an amenable number.

256512041233 is a deficient number, since it is larger than the sum of its proper divisors (41888610659).

256512041233 is a wasteful number, since it uses less digits than its factorization.

256512041233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159552 (or 159545 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 256512041233 its reverse (332140215652), we get a palindrome (588652256885).

The spelling of 256512041233 in words is "two hundred fifty-six billion, five hundred twelve million, forty-one thousand, two hundred thirty-three".

Divisors: 1 7 49 46181 113357 323267 793499 2262869 5554493 5234939617 36644577319 256512041233