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416865013 is a prime number
BaseRepresentation
bin11000110110001…
…101101011110101
31002001101221021221
4120312031223311
51323204140023
6105210510341
713221202615
oct3066155365
91061357257
10416865013
111a4344944
12b77353b1
1368497ab6
143d514a45
15268e585d
hex18d8daf5

416865013 has 2 divisors, whose sum is σ = 416865014. Its totient is φ = 416865012.

The previous prime is 416865011. The next prime is 416865037. The reversal of 416865013 is 310568614.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 330039889 + 86825124 = 18167^2 + 9318^2 .

It is a cyclic number.

It is not a de Polignac number, because 416865013 - 21 = 416865011 is a prime.

Together with 416865011, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 416865013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416865011) 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, 208432506 + 208432507.

It is an arithmetic number, because the mean of its divisors is an integer number (208432507).

Almost surely, 2416865013 is an apocalyptic number.

It is an amenable number.

416865013 is a deficient number, since it is larger than the sum of its proper divisors (1).

416865013 is an equidigital number, since it uses as much as digits as its factorization.

416865013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 416865013 is about 20417.2724182247. The cubic root of 416865013 is about 747.0192883187.

The spelling of 416865013 in words is "four hundred sixteen million, eight hundred sixty-five thousand, thirteen".