Search a number
-
+
338879567713 is a prime number
BaseRepresentation
bin1001110111001101100…
…10111101011101100001
31012101201002200201002111
410323212302331131201
521023011132131323
6415402405115321
733324515540611
oct4734662753541
91171632621074
10338879567713
11120799754a45
12558160b8b41
1325c57a2838b
141258a9b2a41
158c35b25c0d
hex4ee6cbd761

338879567713 has 2 divisors, whose sum is σ = 338879567714. Its totient is φ = 338879567712.

The previous prime is 338879567711. The next prime is 338879567717. The reversal of 338879567713 is 317765978833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 250663439569 + 88216128144 = 500663^2 + 297012^2 .

It is an emirp because it is prime and its reverse (317765978833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 338879567713 - 21 = 338879567711 is a prime.

It is a super-2 number, since 2×3388795677132 (a number of 24 digits) contains 22 as substring.

Together with 338879567711, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (338879567711) 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, 169439783856 + 169439783857.

It is an arithmetic number, because the mean of its divisors is an integer number (169439783857).

Almost surely, 2338879567713 is an apocalyptic number.

It is an amenable number.

338879567713 is a deficient number, since it is larger than the sum of its proper divisors (1).

338879567713 is an equidigital number, since it uses as much as digits as its factorization.

338879567713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 160030080, while the sum is 67.

The spelling of 338879567713 in words is "three hundred thirty-eight billion, eight hundred seventy-nine million, five hundred sixty-seven thousand, seven hundred thirteen".