Search a number
-
+
26656756289 is a prime number
BaseRepresentation
bin11000110100110111…
…011101001001000001
32112210202101112011222
4120310313131021001
5414043112200124
620125042444425
71632402455432
oct306467351101
975722345158
1026656756289
111033a0535a9
1251bb363715
13268a851997
14140c413489
15a6038325e
hex634ddd241

26656756289 has 2 divisors, whose sum is σ = 26656756290. Its totient is φ = 26656756288.

The previous prime is 26656756261. The next prime is 26656756327. The reversal of 26656756289 is 98265765662.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15942850225 + 10713906064 = 126265^2 + 103508^2 .

It is a cyclic number.

It is not a de Polignac number, because 26656756289 - 224 = 26639979073 is a prime.

It is a super-2 number, since 2×266567562892 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (26656755289) 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 as a sum of consecutive naturals, namely, 13328378144 + 13328378145.

It is an arithmetic number, because the mean of its divisors is an integer number (13328378145).

Almost surely, 226656756289 is an apocalyptic number.

It is an amenable number.

26656756289 is a deficient number, since it is larger than the sum of its proper divisors (1).

26656756289 is an equidigital number, since it uses as much as digits as its factorization.

26656756289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 65318400, while the sum is 62.

The spelling of 26656756289 in words is "twenty-six billion, six hundred fifty-six million, seven hundred fifty-six thousand, two hundred eighty-nine".