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256641437051226 = 23223935958151949
BaseRepresentation
bin111010010110100111111101…
…101100001010100101011010
31020122200200102000022020021200
4322112213331230022211122
5232114303130341114401
62305455240520015030
7105025506025365513
oct7226477554124532
91218620360266250
10256641437051226
1174857027650267
122494a9b6001476
13b0282506a3766
144753724667a0a
151ea0c7574e686
hexe969fdb0a95a

256641437051226 has 24 divisors (see below), whose sum is σ = 556288814963700. Its totient is φ = 85511396757696.

The previous prime is 256641437051143. The next prime is 256641437051257. The reversal of 256641437051226 is 622150734146652.

It is a happy number.

256641437051226 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 41 + 4 + 370 + 5 + 1 + 226 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 215131185357201 + 41510251694025 = 14667351^2 + 6442845^2 .

It is a super-2 number, since 2×2566414370512262 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2979032901 + ... + 2979119048.

Almost surely, 2256641437051226 is an apocalyptic number.

256641437051226 is an abundant number, since it is smaller than the sum of its proper divisors (299647377912474).

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

256641437051226 is a wasteful number, since it uses less digits than its factorization.

256641437051226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958154350 (or 5958154347 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 256641437051226 in words is "two hundred fifty-six trillion, six hundred forty-one billion, four hundred thirty-seven million, fifty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 2393 4786 7179 14358 21537 43074 5958151949 11916303898 17874455847 35748911694 53623367541 107246735082 14257857613957 28515715227914 42773572841871 85547145683742 128320718525613 256641437051226