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13677536273 is a prime number
BaseRepresentation
bin11001011110011111…
…01010010000010001
31022022012200211111112
430233033222100101
5211002422130043
610141113023105
7662641066022
oct145717522021
938265624445
1013677536273
115889681495
1227986b4a95
13139c87743b
1493a736c49
15550b88518
hex32f3ea411

13677536273 has 2 divisors, whose sum is σ = 13677536274. Its totient is φ = 13677536272.

The previous prime is 13677536267. The next prime is 13677536321. The reversal of 13677536273 is 37263577631.

13677536273 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., 7948257409 + 5729278864 = 89153^2 + 75692^2 .

It is a cyclic number.

It is not a de Polignac number, because 13677536273 - 26 = 13677536209 is a prime.

It is not a weakly prime, because it can be changed into another prime (13677536203) 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, 6838768136 + 6838768137.

It is an arithmetic number, because the mean of its divisors is an integer number (6838768137).

Almost surely, 213677536273 is an apocalyptic number.

It is an amenable number.

13677536273 is a deficient number, since it is larger than the sum of its proper divisors (1).

13677536273 is an equidigital number, since it uses as much as digits as its factorization.

13677536273 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3333960, while the sum is 50.

The spelling of 13677536273 in words is "thirteen billion, six hundred seventy-seven million, five hundred thirty-six thousand, two hundred seventy-three".