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6677509133 is a prime number
BaseRepresentation
bin1100011100000001…
…01011010000001101
3122020100220121111002
412032000223100031
5102133420243013
63022334110045
7324321614441
oct61600532015
918210817432
106677509133
112917309499
12136434b325
13825562049
14474bb0821
15291366358
hex18e02b40d

6677509133 has 2 divisors, whose sum is σ = 6677509134. Its totient is φ = 6677509132.

The previous prime is 6677509129. The next prime is 6677509141. The reversal of 6677509133 is 3319057766.

6677509133 is digitally balanced in base 3, 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., 6516041284 + 161467849 = 80722^2 + 12707^2 .

It is a cyclic number.

It is not a de Polignac number, because 6677509133 - 22 = 6677509129 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6677509123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3338754566 + 3338754567.

It is an arithmetic number, because the mean of its divisors is an integer number (3338754567).

Almost surely, 26677509133 is an apocalyptic number.

It is an amenable number.

6677509133 is a deficient number, since it is larger than the sum of its proper divisors (1).

6677509133 is an equidigital number, since it uses as much as digits as its factorization.

6677509133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 714420, while the sum is 47.

The square root of 6677509133 is about 81716.0273936515. The cubic root of 6677509133 is about 1883.0918202708.

The spelling of 6677509133 in words is "six billion, six hundred seventy-seven million, five hundred nine thousand, one hundred thirty-three".