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268427854841 is a prime number
BaseRepresentation
bin1111100111111110001…
…1000000001111111001
3221122212012100212122112
43321333203000033321
513344220012323331
6323151500302105
725251615056036
oct3717743001771
9848765325575
10268427854841
11a3926587353
1244033b41935
131c40ab34503
14cdc5db438d
156eb0a3932b
hex3e7f8c03f9

268427854841 has 2 divisors, whose sum is σ = 268427854842. Its totient is φ = 268427854840.

The previous prime is 268427854817. The next prime is 268427854949. The reversal of 268427854841 is 148458724862.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 231340798441 + 37087056400 = 480979^2 + 192580^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-268427854841 is a prime.

It is not a weakly prime, because it can be changed into another prime (268427854241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 134213927420 + 134213927421.

It is an arithmetic number, because the mean of its divisors is an integer number (134213927421).

Almost surely, 2268427854841 is an apocalyptic number.

It is an amenable number.

268427854841 is a deficient number, since it is larger than the sum of its proper divisors (1).

268427854841 is an equidigital number, since it uses as much as digits as its factorization.

268427854841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27525120, while the sum is 59.

The spelling of 268427854841 in words is "two hundred sixty-eight billion, four hundred twenty-seven million, eight hundred fifty-four thousand, eight hundred forty-one".