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13677534401 is a prime number
BaseRepresentation
bin11001011110011111…
…01001110011000001
31022022012200201221012
430233033221303001
5211002422100101
610141113010305
7662641060406
oct145717516301
938265621835
1013677534401
115889680043
1227986b3995
13139c87662b
1493a7362ad
15550b87bbb
hex32f3e9cc1

13677534401 has 2 divisors, whose sum is σ = 13677534402. Its totient is φ = 13677534400.

The previous prime is 13677534391. The next prime is 13677534421. The reversal of 13677534401 is 10443577631.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11262303376 + 2415231025 = 106124^2 + 49145^2 .

It is a cyclic number.

It is not a de Polignac number, because 13677534401 - 226 = 13610425537 is a prime.

It is not a weakly prime, because it can be changed into another prime (13677534421) 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, 6838767200 + 6838767201.

It is an arithmetic number, because the mean of its divisors is an integer number (6838767201).

Almost surely, 213677534401 is an apocalyptic number.

It is an amenable number.

13677534401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13677534401 is an equidigital number, since it uses as much as digits as its factorization.

13677534401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 211680, while the sum is 41.

The spelling of 13677534401 in words is "thirteen billion, six hundred seventy-seven million, five hundred thirty-four thousand, four hundred one".