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20586790349 is a prime number
BaseRepresentation
bin10011001011000100…
…010111110111001101
31222010201200022021122
4103023010113313031
5314130204242344
613242450210325
71326105554636
oct231304276715
958121608248
1020586790349
118804785324
123ba65839a5
131c31129a68
14dd41d088d
15807529aee
hex4cb117dcd

20586790349 has 2 divisors, whose sum is σ = 20586790350. Its totient is φ = 20586790348.

The previous prime is 20586790333. The next prime is 20586790351. The reversal of 20586790349 is 94309768502.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17036775625 + 3550014724 = 130525^2 + 59582^2 .

It is a cyclic number.

It is not a de Polignac number, because 20586790349 - 24 = 20586790333 is a prime.

Together with 20586790351, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20586790349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20586790369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10293395174 + 10293395175.

It is an arithmetic number, because the mean of its divisors is an integer number (10293395175).

Almost surely, 220586790349 is an apocalyptic number.

It is an amenable number.

20586790349 is a deficient number, since it is larger than the sum of its proper divisors (1).

20586790349 is an equidigital number, since it uses as much as digits as its factorization.

20586790349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 20586790349 in words is "twenty billion, five hundred eighty-six million, seven hundred ninety thousand, three hundred forty-nine".