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12766816771 is a prime number
BaseRepresentation
bin10111110001111011…
…00010101000000011
31012221202000111012121
423320331202220003
5202121301114041
65510501105111
7631242103102
oct137075425003
935852014177
1012766816771
115461598445
1225836b8197
131285c99867
148917ca039
154eac407d1
hex2f8f62a03

12766816771 has 2 divisors, whose sum is σ = 12766816772. Its totient is φ = 12766816770.

The previous prime is 12766816763. The next prime is 12766816787. The reversal of 12766816771 is 17761866721.

It is a happy number.

12766816771 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 12766816771 - 23 = 12766816763 is a prime.

It is a super-2 number, since 2×127668167712 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12766816721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6383408385 + 6383408386.

It is an arithmetic number, because the mean of its divisors is an integer number (6383408386).

Almost surely, 212766816771 is an apocalyptic number.

12766816771 is a deficient number, since it is larger than the sum of its proper divisors (1).

12766816771 is an equidigital number, since it uses as much as digits as its factorization.

12766816771 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1185408, while the sum is 52.

The spelling of 12766816771 in words is "twelve billion, seven hundred sixty-six million, eight hundred sixteen thousand, seven hundred seventy-one".