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256911682753 = 11971094921991
BaseRepresentation
bin1110111101000100100…
…0010010110011000001
3220120010121122201102101
43233101020102303001
513202123342322003
6314005032550401
724363340162225
oct3572110226301
9816117581371
10256911682753
1199a56a46860
124195b252401
131b2c3cb1abb
14c61273c785
156a399da11d
hex3bd1212cc1

256911682753 has 16 divisors (see below), whose sum is σ = 283195382400. Its totient is φ = 231116659200.

The previous prime is 256911682751. The next prime is 256911682763. The reversal of 256911682753 is 357286119652.

It is a cyclic number.

It is not a de Polignac number, because 256911682753 - 21 = 256911682751 is a prime.

It is a super-2 number, since 2×2569116827532 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 256911682694 and 256911682703.

It is not an unprimeable number, because it can be changed into a prime (256911682751) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11671588 + ... + 11693578.

It is an arithmetic number, because the mean of its divisors is an integer number (17699711400).

Almost surely, 2256911682753 is an apocalyptic number.

It is an amenable number.

256911682753 is a deficient number, since it is larger than the sum of its proper divisors (26283699647).

256911682753 is a wasteful number, since it uses less digits than its factorization.

256911682753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33048.

The product of its digits is 5443200, while the sum is 55.

The spelling of 256911682753 in words is "two hundred fifty-six billion, nine hundred eleven million, six hundred eighty-two thousand, seven hundred fifty-three".

Divisors: 1 11 97 1067 10949 21991 120439 241901 1062053 2133127 11682583 23464397 240779459 2648574049 23355607523 256911682753