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12736683139337 is a prime number
BaseRepresentation
bin1011100101010111110101…
…1110010110000100001001
31200002121121100101001120122
42321111331132112010021
53132134211340424322
643031052414233025
72453123611252103
oct271257536260411
950077540331518
1012736683139337
114070662650a83
1215185554b5775
137150aa9a5521
1432065cb66573
1517149c6cb442
hexb957d796109

12736683139337 has 2 divisors, whose sum is σ = 12736683139338. Its totient is φ = 12736683139336.

The previous prime is 12736683139319. The next prime is 12736683139393. The reversal of 12736683139337 is 73393138663721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11142918286201 + 1593764853136 = 3338101^2 + 1262444^2 .

It is an emirp because it is prime and its reverse (73393138663721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12736683139337 - 26 = 12736683139273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12736683139337.

It is not a weakly prime, because it can be changed into another prime (12736683139937) 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, 6368341569668 + 6368341569669.

It is an arithmetic number, because the mean of its divisors is an integer number (6368341569669).

Almost surely, 212736683139337 is an apocalyptic number.

It is an amenable number.

12736683139337 is a deficient number, since it is larger than the sum of its proper divisors (1).

12736683139337 is an equidigital number, since it uses as much as digits as its factorization.

12736683139337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 61725888, while the sum is 62.

The spelling of 12736683139337 in words is "twelve trillion, seven hundred thirty-six billion, six hundred eighty-three million, one hundred thirty-nine thousand, three hundred thirty-seven".