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12767088834713 is a prime number
BaseRepresentation
bin1011100111001001000111…
…0010110111100010011001
31200012112002101001102101102
42321302101302313202121
53133133444220202323
643053041502001145
72455251235353233
oct271622162674231
950175071042342
1012767088834713
11408254589aa44
1215224202761b5
13717c15124355
14321d05019253
1517217bc41328
hexb9c91cb7899

12767088834713 has 2 divisors, whose sum is σ = 12767088834714. Its totient is φ = 12767088834712.

The previous prime is 12767088834701. The next prime is 12767088834719. The reversal of 12767088834713 is 31743888076721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7174185470089 + 5592903364624 = 2678467^2 + 2364932^2 .

It is an emirp because it is prime and its reverse (31743888076721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12767088834713 - 24 = 12767088834697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12767088834713.

It is not a weakly prime, because it can be changed into another prime (12767088834719) 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, 6383544417356 + 6383544417357.

It is an arithmetic number, because the mean of its divisors is an integer number (6383544417357).

Almost surely, 212767088834713 is an apocalyptic number.

It is an amenable number.

12767088834713 is a deficient number, since it is larger than the sum of its proper divisors (1).

12767088834713 is an equidigital number, since it uses as much as digits as its factorization.

12767088834713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75866112, while the sum is 65.

The spelling of 12767088834713 in words is "twelve trillion, seven hundred sixty-seven billion, eighty-eight million, eight hundred thirty-four thousand, seven hundred thirteen".