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820058049641 is a prime number
BaseRepresentation
bin10111110111011110100…
…01001100110001101001
32220101201020220020101002
423323233101030301221
5101413434330042031
61424421322004345
7113150542260605
oct13735721146151
92811636806332
10820058049641
1129686a432326
12112b239466b5
135c43c69a5bc
142b99623c505
15164e91c7ccb
hexbeef44cc69

820058049641 has 2 divisors, whose sum is σ = 820058049642. Its totient is φ = 820058049640.

The previous prime is 820058049637. The next prime is 820058049647. The reversal of 820058049641 is 146940850028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 731375592025 + 88682457616 = 855205^2 + 297796^2 .

It is a cyclic number.

It is not a de Polignac number, because 820058049641 - 22 = 820058049637 is a prime.

It is not a weakly prime, because it can be changed into another prime (820058049647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410029024820 + 410029024821.

It is an arithmetic number, because the mean of its divisors is an integer number (410029024821).

Almost surely, 2820058049641 is an apocalyptic number.

It is an amenable number.

820058049641 is a deficient number, since it is larger than the sum of its proper divisors (1).

820058049641 is an equidigital number, since it uses as much as digits as its factorization.

820058049641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 552960, while the sum is 47.

Adding to 820058049641 its reverse (146940850028), we get a palindrome (966998899669).

The spelling of 820058049641 in words is "eight hundred twenty billion, fifty-eight million, forty-nine thousand, six hundred forty-one".