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82689847013 is a prime number
BaseRepresentation
bin100110100000010110…
…0101110111011100101
321220102210112110102102
41031000230232323211
52323322100101023
6101553122221445
75655063050114
oct1150054567345
9256383473372
1082689847013
1132083298a44
12140387b4885
137a4a4a5177
1440060c7c7b
15223e6ea628
hex1340b2eee5

82689847013 has 2 divisors, whose sum is σ = 82689847014. Its totient is φ = 82689847012.

The previous prime is 82689847003. The next prime is 82689847021. The reversal of 82689847013 is 31074898628.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48225038404 + 34464808609 = 219602^2 + 185647^2 .

It is a cyclic number.

It is not a de Polignac number, because 82689847013 - 26 = 82689846949 is a prime.

It is a super-2 number, since 2×826898470132 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82689847013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82689847003) 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, 41344923506 + 41344923507.

It is an arithmetic number, because the mean of its divisors is an integer number (41344923507).

Almost surely, 282689847013 is an apocalyptic number.

It is an amenable number.

82689847013 is a deficient number, since it is larger than the sum of its proper divisors (1).

82689847013 is an equidigital number, since it uses as much as digits as its factorization.

82689847013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4644864, while the sum is 56.

The spelling of 82689847013 in words is "eighty-two billion, six hundred eighty-nine million, eight hundred forty-seven thousand, thirteen".