Search a number
-
+
264828333317 is a prime number
BaseRepresentation
bin1111011010100011111…
…1111010110100000101
3221022120100020020101112
43312220333322310011
513314332023131232
6321354354134405
725063456456142
oct3665077726405
9838510206345
10264828333317
11a2349765579
12433aa581405
131bc86191112
14cb63d0b3c9
156d4ea1e4b2
hex3da8ffad05

264828333317 has 2 divisors, whose sum is σ = 264828333318. Its totient is φ = 264828333316.

The previous prime is 264828333271. The next prime is 264828333323. The reversal of 264828333317 is 713333828462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171330594241 + 93497739076 = 413921^2 + 305774^2 .

It is a cyclic number.

It is not a de Polignac number, because 264828333317 - 232 = 260533366021 is a prime.

It is a super-2 number, since 2×2648283333172 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264828333017) 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, 132414166658 + 132414166659.

It is an arithmetic number, because the mean of its divisors is an integer number (132414166659).

Almost surely, 2264828333317 is an apocalyptic number.

It is an amenable number.

264828333317 is a deficient number, since it is larger than the sum of its proper divisors (1).

264828333317 is an equidigital number, since it uses as much as digits as its factorization.

264828333317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3483648, while the sum is 50.

The spelling of 264828333317 in words is "two hundred sixty-four billion, eight hundred twenty-eight million, three hundred thirty-three thousand, three hundred seventeen".