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13646106361 is a prime number
BaseRepresentation
bin11001011010101111…
…10000111011111001
31022020000120000202201
430231113300323321
5210421400400421
610134031230201
7662106663436
oct145527607371
938200500681
1013646106361
115872964758
12278a078361
1313961c1664
149364b4b8d
1554d02ab91
hex32d5f0ef9

13646106361 has 2 divisors, whose sum is σ = 13646106362. Its totient is φ = 13646106360.

The previous prime is 13646106359. The next prime is 13646106367. The reversal of 13646106361 is 16360164631.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7330784400 + 6315321961 = 85620^2 + 79469^2 .

It is a cyclic number.

It is not a de Polignac number, because 13646106361 - 21 = 13646106359 is a prime.

Together with 13646106359, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 13646106361.

It is not a weakly prime, because it can be changed into another prime (13646106367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6823053180 + 6823053181.

It is an arithmetic number, because the mean of its divisors is an integer number (6823053181).

Almost surely, 213646106361 is an apocalyptic number.

It is an amenable number.

13646106361 is a deficient number, since it is larger than the sum of its proper divisors (1).

13646106361 is an equidigital number, since it uses as much as digits as its factorization.

13646106361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 13646106361 in words is "thirteen billion, six hundred forty-six million, one hundred six thousand, three hundred sixty-one".