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13839383521969 is a prime number
BaseRepresentation
bin1100100101100011101110…
…0010011110101010110001
31211000000212102200110212221
43021120323202132222301
53303221024140200334
645233420334321041
72625601552665235
oct311307342365261
954000772613787
1013839383521969
11445628222a455
1216761b9659181
1379508206c435
1435bb88b225c5
1518eeda28a8b4
hexc963b89eab1

13839383521969 has 2 divisors, whose sum is σ = 13839383521970. Its totient is φ = 13839383521968.

The previous prime is 13839383521967. The next prime is 13839383521973. The reversal of 13839383521969 is 96912538393831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10743402510369 + 3095981011600 = 3277713^2 + 1759540^2 .

It is a cyclic number.

It is not a de Polignac number, because 13839383521969 - 21 = 13839383521967 is a prime.

It is a super-3 number, since 3×138393835219693 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 13839383521967, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 13839383521898 and 13839383521907.

It is not a weakly prime, because it can be changed into another prime (13839383521967) 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, 6919691760984 + 6919691760985.

It is an arithmetic number, because the mean of its divisors is an integer number (6919691760985).

Almost surely, 213839383521969 is an apocalyptic number.

It is an amenable number.

13839383521969 is a deficient number, since it is larger than the sum of its proper divisors (1).

13839383521969 is an equidigital number, since it uses as much as digits as its factorization.

13839383521969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 226748160, while the sum is 70.

The spelling of 13839383521969 in words is "thirteen trillion, eight hundred thirty-nine billion, three hundred eighty-three million, five hundred twenty-one thousand, nine hundred sixty-nine".