Search a number
-
+
12458644165657 is a prime number
BaseRepresentation
bin1011010101001100000100…
…0011110101010000011001
31122010000221022222202110201
42311103001003311100121
53113110300401300112
642255231102142201
72424051550053304
oct265230103652031
948100838882421
1012458644165657
113a73754920908
12149269a881961
136c4aca901261
1431100453bb3b
15169127eed257
hexb54c10f5419

12458644165657 has 2 divisors, whose sum is σ = 12458644165658. Its totient is φ = 12458644165656.

The previous prime is 12458644165549. The next prime is 12458644165661. The reversal of 12458644165657 is 75656144685421.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12320233380361 + 138410785296 = 3510019^2 + 372036^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12458644165657 is a prime.

It is not a weakly prime, because it can be changed into another prime (12458644565657) 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, 6229322082828 + 6229322082829.

It is an arithmetic number, because the mean of its divisors is an integer number (6229322082829).

Almost surely, 212458644165657 is an apocalyptic number.

It is an amenable number.

12458644165657 is a deficient number, since it is larger than the sum of its proper divisors (1).

12458644165657 is an equidigital number, since it uses as much as digits as its factorization.

12458644165657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 193536000, while the sum is 64.

The spelling of 12458644165657 in words is "twelve trillion, four hundred fifty-eight billion, six hundred forty-four million, one hundred sixty-five thousand, six hundred fifty-seven".