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13686820057 is a prime number
BaseRepresentation
bin11001011111100110…
…00100110011011001
31022022212011111110101
430233303010303121
5211012311220212
610142044015401
7663113023321
oct145763046331
938285144411
1013686820057
115893942539
12279b831561
1313a1777cc1
1493ba72281
155518be157
hex32fcc4cd9

13686820057 has 2 divisors, whose sum is σ = 13686820058. Its totient is φ = 13686820056.

The previous prime is 13686820051. The next prime is 13686820111. The reversal of 13686820057 is 75002868631.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10059287616 + 3627532441 = 100296^2 + 60229^2 .

It is an emirp because it is prime and its reverse (75002868631) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13686820057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13686819989 and 13686820016.

It is not a weakly prime, because it can be changed into another prime (13686820051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6843410028 + 6843410029.

It is an arithmetic number, because the mean of its divisors is an integer number (6843410029).

Almost surely, 213686820057 is an apocalyptic number.

It is an amenable number.

13686820057 is a deficient number, since it is larger than the sum of its proper divisors (1).

13686820057 is an equidigital number, since it uses as much as digits as its factorization.

13686820057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 13686820057 in words is "thirteen billion, six hundred eighty-six million, eight hundred twenty thousand, fifty-seven".