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82801431913 is a prime number
BaseRepresentation
bin100110100011101011…
…0011001010101101001
321220201120111120010111
41031013112121111221
52324034131310123
6102012150014321
75660616362404
oct1150726312551
9256646446114
1082801431913
1132130282372
121406a0473a1
137a67643a35
144016c52d3b
1522493dc90d
hex1347599569

82801431913 has 2 divisors, whose sum is σ = 82801431914. Its totient is φ = 82801431912.

The previous prime is 82801431901. The next prime is 82801431917. The reversal of 82801431913 is 31913410828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58330461289 + 24470970624 = 241517^2 + 156432^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82801431913 is a prime.

It is not a weakly prime, because it can be changed into another prime (82801431917) 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, 41400715956 + 41400715957.

It is an arithmetic number, because the mean of its divisors is an integer number (41400715957).

Almost surely, 282801431913 is an apocalyptic number.

It is an amenable number.

82801431913 is a deficient number, since it is larger than the sum of its proper divisors (1).

82801431913 is an equidigital number, since it uses as much as digits as its factorization.

82801431913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 82801431913 in words is "eighty-two billion, eight hundred one million, four hundred thirty-one thousand, nine hundred thirteen".