Search a number
-
+
259728850700339 is a prime number
BaseRepresentation
bin111011000011100011010101…
…111000100100100000110011
31021001121211120011202222102112
4323003203111320210200303
5233020344141234402324
62320221441541235535
7105464535021403556
oct7303432570444063
91231554504688375
10259728850700339
1175837429115359
1225169236702bab
13b1c0430251497
14481cd2cb7069d
152006224238c0e
hexec38d5e24833

259728850700339 has 2 divisors, whose sum is σ = 259728850700340. Its totient is φ = 259728850700338.

The previous prime is 259728850700309. The next prime is 259728850700359. The reversal of 259728850700339 is 933007058827952.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 259728850700339 - 240 = 258629339072563 is a prime.

It is a super-2 number, since 2×2597288507003392 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (259728850700309) 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, 129864425350169 + 129864425350170.

It is an arithmetic number, because the mean of its divisors is an integer number (129864425350170).

Almost surely, 2259728850700339 is an apocalyptic number.

259728850700339 is a deficient number, since it is larger than the sum of its proper divisors (1).

259728850700339 is an equidigital number, since it uses as much as digits as its factorization.

259728850700339 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 228614400, while the sum is 68.

The spelling of 259728850700339 in words is "two hundred fifty-nine trillion, seven hundred twenty-eight billion, eight hundred fifty million, seven hundred thousand, three hundred thirty-nine".