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82066767193 is a prime number
BaseRepresentation
bin100110001101110001…
…1110111110101011001
321211211101002201121001
41030123203313311121
52321033043022233
6101411223345001
75633456003635
oct1143343676531
9254741081531
1082066767193
1131893606944
1213aa3bb2161
13797b388398
143d87453dc5
152204b6e27d
hex131b8f7d59

82066767193 has 2 divisors, whose sum is σ = 82066767194. Its totient is φ = 82066767192.

The previous prime is 82066767119. The next prime is 82066767247. The reversal of 82066767193 is 39176766028.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64776358144 + 17290409049 = 254512^2 + 131493^2 .

It is a cyclic number.

It is not a de Polignac number, because 82066767193 - 221 = 82064670041 is a prime.

It is a super-2 number, since 2×820667671932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82066767103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41033383596 + 41033383597.

It is an arithmetic number, because the mean of its divisors is an integer number (41033383597).

Almost surely, 282066767193 is an apocalyptic number.

It is an amenable number.

82066767193 is a deficient number, since it is larger than the sum of its proper divisors (1).

82066767193 is an equidigital number, since it uses as much as digits as its factorization.

82066767193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 82066767193 in words is "eighty-two billion, sixty-six million, seven hundred sixty-seven thousand, one hundred ninety-three".