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11683646137 is a prime number
BaseRepresentation
bin10101110000110011…
…00100101010111001
31010011020211201102201
422320121210222321
5142412003134022
65211205030201
7562350232162
oct127031445271
933136751381
1011683646137
114a561282a9
1223209b5361
13114275c0a7
147cb9cc769
15485ad1127
hex2b8664ab9

11683646137 has 2 divisors, whose sum is σ = 11683646138. Its totient is φ = 11683646136.

The previous prime is 11683646129. The next prime is 11683646153. The reversal of 11683646137 is 73164638611.

11683646137 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., 7138729081 + 4544917056 = 84491^2 + 67416^2 .

It is a cyclic number.

It is not a de Polignac number, because 11683646137 - 23 = 11683646129 is a prime.

It is not a weakly prime, because it can be changed into another prime (11683646167) 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, 5841823068 + 5841823069.

It is an arithmetic number, because the mean of its divisors is an integer number (5841823069).

Almost surely, 211683646137 is an apocalyptic number.

It is an amenable number.

11683646137 is a deficient number, since it is larger than the sum of its proper divisors (1).

11683646137 is an equidigital number, since it uses as much as digits as its factorization.

11683646137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 435456, while the sum is 46.

The spelling of 11683646137 in words is "eleven billion, six hundred eighty-three million, six hundred forty-six thousand, one hundred thirty-seven".