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12777789953 is a prime number
BaseRepresentation
bin10111110011001110…
…11001101000000001
31012222111122222120202
423321213121220001
5202132103234303
65511532214545
7631434264635
oct137147315001
935874588522
1012777789953
115467802795
12258730a455
13128833c376
14893044dc5
154ebbabc88
hex2f99d9a01

12777789953 has 2 divisors, whose sum is σ = 12777789954. Its totient is φ = 12777789952.

The previous prime is 12777789943. The next prime is 12777789967. The reversal of 12777789953 is 35998777721.

12777789953 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 can be written as a sum of positive squares in only one way, i.e., 11251481329 + 1526308624 = 106073^2 + 39068^2 .

It is a cyclic number.

It is not a de Polignac number, because 12777789953 - 26 = 12777789889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12777789953.

It is not a weakly prime, because it can be changed into another prime (12777789923) 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, 6388894976 + 6388894977.

It is an arithmetic number, because the mean of its divisors is an integer number (6388894977).

Almost surely, 212777789953 is an apocalyptic number.

It is an amenable number.

12777789953 is a deficient number, since it is larger than the sum of its proper divisors (1).

12777789953 is an equidigital number, since it uses as much as digits as its factorization.

12777789953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46675440, while the sum is 65.

The spelling of 12777789953 in words is "twelve billion, seven hundred seventy-seven million, seven hundred eighty-nine thousand, nine hundred fifty-three".