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13478048993 is a prime number
BaseRepresentation
bin11001000110101101…
…01011010011100001
31021210022022211101202
430203112223103201
5210100340031433
610105225210545
7654666345323
oct144326532341
937708284352
1013478048993
115797009772
122741930a55
13136a43c626
1491c049613
1553d3d0ee8
hex3235ab4e1

13478048993 has 2 divisors, whose sum is σ = 13478048994. Its totient is φ = 13478048992.

The previous prime is 13478048951. The next prime is 13478049001. The reversal of 13478048993 is 39984087431.

13478048993 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., 6807570064 + 6670478929 = 82508^2 + 81673^2 .

It is a cyclic number.

It is not a de Polignac number, because 13478048993 - 226 = 13410940129 is a prime.

It is not a weakly prime, because it can be changed into another prime (13478048593) 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, 6739024496 + 6739024497.

It is an arithmetic number, because the mean of its divisors is an integer number (6739024497).

Almost surely, 213478048993 is an apocalyptic number.

It is an amenable number.

13478048993 is a deficient number, since it is larger than the sum of its proper divisors (1).

13478048993 is an equidigital number, since it uses as much as digits as its factorization.

13478048993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5225472, while the sum is 56.

The spelling of 13478048993 in words is "thirteen billion, four hundred seventy-eight million, forty-eight thousand, nine hundred ninety-three".