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13674290821 is a prime number
BaseRepresentation
bin11001011110000110…
…10001111010000101
31022021222120221120121
430233003101322011
5211001104301241
610140515301541
7662601361042
oct145703217205
938258527517
1013674290821
1158878650a4
1227975aa8b1
13139bcac159
1493a1301c9
15550746ad1
hex32f0d1e85

13674290821 has 2 divisors, whose sum is σ = 13674290822. Its totient is φ = 13674290820.

The previous prime is 13674290807. The next prime is 13674290837. The reversal of 13674290821 is 12809247631.

13674290821 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., 10150562500 + 3523728321 = 100750^2 + 59361^2 .

It is an emirp because it is prime and its reverse (12809247631) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13674290821 - 25 = 13674290789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13674290881) 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, 6837145410 + 6837145411.

It is an arithmetic number, because the mean of its divisors is an integer number (6837145411).

Almost surely, 213674290821 is an apocalyptic number.

It is an amenable number.

13674290821 is a deficient number, since it is larger than the sum of its proper divisors (1).

13674290821 is an equidigital number, since it uses as much as digits as its factorization.

13674290821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 13674290821 in words is "thirteen billion, six hundred seventy-four million, two hundred ninety thousand, eight hundred twenty-one".