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82370384561 is a prime number
BaseRepresentation
bin100110010110110101…
…0000101001010110001
321212121112102002022202
41030231222011022301
52322143304301221
6101501311112545
75644133500523
oct1145552051261
9255545362282
1082370384561
1131a29a31093
1213b69812755
1379c925182a
143db58c9a13
152221644d0b
hex132da852b1

82370384561 has 2 divisors, whose sum is σ = 82370384562. Its totient is φ = 82370384560.

The previous prime is 82370384557. The next prime is 82370384599. The reversal of 82370384561 is 16548307328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77136730225 + 5233654336 = 277735^2 + 72344^2 .

It is a cyclic number.

It is not a de Polignac number, because 82370384561 - 22 = 82370384557 is a prime.

It is not a weakly prime, because it can be changed into another prime (82370384861) 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, 41185192280 + 41185192281.

It is an arithmetic number, because the mean of its divisors is an integer number (41185192281).

Almost surely, 282370384561 is an apocalyptic number.

It is an amenable number.

82370384561 is a deficient number, since it is larger than the sum of its proper divisors (1).

82370384561 is an equidigital number, since it uses as much as digits as its factorization.

82370384561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 82370384561 in words is "eighty-two billion, three hundred seventy million, three hundred eighty-four thousand, five hundred sixty-one".