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82963809209 is a prime number
BaseRepresentation
bin100110101000100000…
…1110100001110111001
321221010220001011220102
41031101001310032321
52324402213343314
6102040230205145
75664630512531
oct1152101641671
9257126034812
1082963809209
11322039a8886
12140b44b37b5
137a92187588
1440306404c1
1522587b45de
hex13510743b9

82963809209 has 2 divisors, whose sum is σ = 82963809210. Its totient is φ = 82963809208.

The previous prime is 82963809193. The next prime is 82963809233. The reversal of 82963809209 is 90290836928.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82610256400 + 353552809 = 287420^2 + 18803^2 .

It is a cyclic number.

It is not a de Polignac number, because 82963809209 - 24 = 82963809193 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (82963800209) 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, 41481904604 + 41481904605.

It is an arithmetic number, because the mean of its divisors is an integer number (41481904605).

Almost surely, 282963809209 is an apocalyptic number.

It is an amenable number.

82963809209 is a deficient number, since it is larger than the sum of its proper divisors (1).

82963809209 is an equidigital number, since it uses as much as digits as its factorization.

82963809209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3359232, while the sum is 56.

The spelling of 82963809209 in words is "eighty-two billion, nine hundred sixty-three million, eight hundred nine thousand, two hundred nine".