Search a number
-
+
238446266856289 is a prime number
BaseRepresentation
bin110110001101110110011001…
…000010001011001101100001
31011021021020111022112102002121
4312031312121002023031201
5222223200423303400124
62203044411444144241
7101140113530512162
oct6615663102131541
91137236438472077
10238446266856289
1169a815483a4948
12228b0598398081
13a30850414384b
1442c4c0a415769
151c8780445a2e4
hexd8dd9908b361

238446266856289 has 2 divisors, whose sum is σ = 238446266856290. Its totient is φ = 238446266856288.

The previous prime is 238446266856283. The next prime is 238446266856463. The reversal of 238446266856289 is 982658662644832.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 177028559923264 + 61417706933025 = 13305208^2 + 7836945^2 .

It is a cyclic number.

It is not a de Polignac number, because 238446266856289 - 227 = 238446132638561 is a prime.

It is not a weakly prime, because it can be changed into another prime (238446266856283) 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, 119223133428144 + 119223133428145.

It is an arithmetic number, because the mean of its divisors is an integer number (119223133428145).

Almost surely, 2238446266856289 is an apocalyptic number.

It is an amenable number.

238446266856289 is a deficient number, since it is larger than the sum of its proper divisors (1).

238446266856289 is an equidigital number, since it uses as much as digits as its factorization.

238446266856289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11466178560, while the sum is 79.

The spelling of 238446266856289 in words is "two hundred thirty-eight trillion, four hundred forty-six billion, two hundred sixty-six million, eight hundred fifty-six thousand, two hundred eighty-nine".