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13681746901 is a prime number
BaseRepresentation
bin11001011110111111…
…01110001111010101
31022022111121202101201
430233133232033111
5211010011400101
610141343152501
7663021633634
oct145737561725
938274552351
1013681746901
115890a97a49
122799ba5731
1313a06bcb34
1493b11151b
1555121ae01
hex32f7ee3d5

13681746901 has 2 divisors, whose sum is σ = 13681746902. Its totient is φ = 13681746900.

The previous prime is 13681746899. The next prime is 13681746919. The reversal of 13681746901 is 10964718631.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10528812100 + 3152934801 = 102610^2 + 56151^2 .

It is a cyclic number.

It is not a de Polignac number, because 13681746901 - 21 = 13681746899 is a prime.

Together with 13681746899, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13681746301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6840873450 + 6840873451.

It is an arithmetic number, because the mean of its divisors is an integer number (6840873451).

Almost surely, 213681746901 is an apocalyptic number.

It is an amenable number.

13681746901 is a deficient number, since it is larger than the sum of its proper divisors (1).

13681746901 is an equidigital number, since it uses as much as digits as its factorization.

13681746901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 13681746901 in words is "thirteen billion, six hundred eighty-one million, seven hundred forty-six thousand, nine hundred one".