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338739046778933 is a prime number
BaseRepresentation
bin100110100000101001101010…
…0100011100000100000110101
31122102101010200120221000221222
41031001103110203200200311
5323344400031433411213
63200234323024520125
7131231042234152643
oct11501232443404065
91572333616830858
10338739046778933
1198a29471aa8339
1231ba9a91480045
1311701c55318768
145d910b34c2193
1529265a75eb808
hex13414d48e0835

338739046778933 has 2 divisors, whose sum is σ = 338739046778934. Its totient is φ = 338739046778932.

The previous prime is 338739046778879. The next prime is 338739046778959. The reversal of 338739046778933 is 339877640937833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203619857428849 + 135119189350084 = 14269543^2 + 11624078^2 .

It is a cyclic number.

It is not a de Polignac number, because 338739046778933 - 212 = 338739046774837 is a prime.

It is a super-2 number, since 2×3387390467789332 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (338739046771933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169369523389466 + 169369523389467.

It is an arithmetic number, because the mean of its divisors is an integer number (169369523389467).

Almost surely, 2338739046778933 is an apocalyptic number.

It is an amenable number.

338739046778933 is a deficient number, since it is larger than the sum of its proper divisors (1).

338739046778933 is an equidigital number, since it uses as much as digits as its factorization.

338739046778933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10369949184, while the sum is 80.

The spelling of 338739046778933 in words is "three hundred thirty-eight trillion, seven hundred thirty-nine billion, forty-six million, seven hundred seventy-eight thousand, nine hundred thirty-three".