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256901683097 is a prime number
BaseRepresentation
bin1110111101000010001…
…0001001011110011001
3220120002220211200110202
43233100202021132121
513202113312324342
6314004034351545
724363156163553
oct3572042113631
9816086750422
10256901683097
1199a51336984
1241957a2b5b5
131b2c1bc0447
14c6112984d3
156a38bb2332
hex3bd0889799

256901683097 has 2 divisors, whose sum is σ = 256901683098. Its totient is φ = 256901683096.

The previous prime is 256901682943. The next prime is 256901683127. The reversal of 256901683097 is 790386109652.

It is a happy number.

256901683097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 237231340096 + 19670343001 = 487064^2 + 140251^2 .

It is a cyclic number.

It is not a de Polignac number, because 256901683097 - 28 = 256901682841 is a prime.

It is a super-2 number, since 2×2569016830972 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (256901685097) 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 as a sum of consecutive naturals, namely, 128450841548 + 128450841549.

It is an arithmetic number, because the mean of its divisors is an integer number (128450841549).

Almost surely, 2256901683097 is an apocalyptic number.

It is an amenable number.

256901683097 is a deficient number, since it is larger than the sum of its proper divisors (1).

256901683097 is an equidigital number, since it uses as much as digits as its factorization.

256901683097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4898880, while the sum is 56.

The spelling of 256901683097 in words is "two hundred fifty-six billion, nine hundred one million, six hundred eighty-three thousand, ninety-seven".