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2004766013 is a prime number
BaseRepresentation
bin111011101111110…
…0100110100111101
312011201022122222002
41313133210310331
513101210003023
6530533032045
7100452141605
oct16737446475
95151278862
102004766013
11939702418
1247b485625
1325c4557a3
14150379c05
15bb004b28
hex777e4d3d

2004766013 has 2 divisors, whose sum is σ = 2004766014. Its totient is φ = 2004766012.

The previous prime is 2004766009. The next prime is 2004766031. The reversal of 2004766013 is 3106674002.

Together with next prime (2004766031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1148735449 + 856030564 = 33893^2 + 29258^2 .

It is a cyclic number.

It is not a de Polignac number, because 2004766013 - 22 = 2004766009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2004766033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002383006 + 1002383007.

It is an arithmetic number, because the mean of its divisors is an integer number (1002383007).

Almost surely, 22004766013 is an apocalyptic number.

It is an amenable number.

2004766013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004766013 is an equidigital number, since it uses as much as digits as its factorization.

2004766013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 2004766013 is about 44774.6134880023. The cubic root of 2004766013 is about 1260.9210559918.

The spelling of 2004766013 in words is "two billion, four million, seven hundred sixty-six thousand, thirteen".