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13435461337 is a prime number
BaseRepresentation
bin11001000001101000…
…01101111011011001
31021200100012011010011
430200310031323121
5210003434230322
610101104321521
7653641352134
oct144064157331
937610164104
1013435461337
115774a70a61
12272b6132a1
13136167b02c
1491652121b
155397bc677
hex320d0ded9

13435461337 has 2 divisors, whose sum is σ = 13435461338. Its totient is φ = 13435461336.

The previous prime is 13435461331. The next prime is 13435461379. The reversal of 13435461337 is 73316453431.

13435461337 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., 10274660496 + 3160800841 = 101364^2 + 56221^2 .

It is a cyclic number.

It is not a de Polignac number, because 13435461337 - 215 = 13435428569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13435461337.

It is not a weakly prime, because it can be changed into another prime (13435461331) 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, 6717730668 + 6717730669.

It is an arithmetic number, because the mean of its divisors is an integer number (6717730669).

Almost surely, 213435461337 is an apocalyptic number.

It is an amenable number.

13435461337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13435461337 is an equidigital number, since it uses as much as digits as its factorization.

13435461337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 272160, while the sum is 40.

The spelling of 13435461337 in words is "thirteen billion, four hundred thirty-five million, four hundred sixty-one thousand, three hundred thirty-seven".