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14979568801 is a prime number
BaseRepresentation
bin11011111001101101…
…00001010010100001
31102122221200221100111
431330312201102201
5221134232200201
610514224051321
71040131143151
oct157466412241
942587627314
1014979568801
11639763782a
122aa0763b41
1315495445a2
14a21626761
155ca12ab51
hex37cda14a1

14979568801 has 2 divisors, whose sum is σ = 14979568802. Its totient is φ = 14979568800.

The previous prime is 14979568759. The next prime is 14979568811. The reversal of 14979568801 is 10886597941.

14979568801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14844985600 + 134583201 = 121840^2 + 11601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14979568801 is a prime.

It is not a weakly prime, because it can be changed into another prime (14979568811) 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, 7489784400 + 7489784401.

It is an arithmetic number, because the mean of its divisors is an integer number (7489784401).

Almost surely, 214979568801 is an apocalyptic number.

It is an amenable number.

14979568801 is a deficient number, since it is larger than the sum of its proper divisors (1).

14979568801 is an equidigital number, since it uses as much as digits as its factorization.

14979568801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4354560, while the sum is 58.

The spelling of 14979568801 in words is "fourteen billion, nine hundred seventy-nine million, five hundred sixty-eight thousand, eight hundred one".