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82171662337 is a prime number
BaseRepresentation
bin100110010000111010…
…0000001000000000001
321212002200110221200101
41030201310001000001
52321241421143322
6101425451522401
75636201414452
oct1144164010001
9255080427611
1082171662337
1131937841146
1213b13159401
13799702400b
143d9735b129
15220de8e327
hex1321d01001

82171662337 has 2 divisors, whose sum is σ = 82171662338. Its totient is φ = 82171662336.

The previous prime is 82171662329. The next prime is 82171662341. The reversal of 82171662337 is 73326617128.

It is a happy number.

It is a Cunningham number, because it is equal to 2866562+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82171662336 + 1 = 286656^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 82171662337 - 23 = 82171662329 is a prime.

It is not a weakly prime, because it can be changed into another prime (82171662737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41085831168 + 41085831169.

It is an arithmetic number, because the mean of its divisors is an integer number (41085831169).

Almost surely, 282171662337 is an apocalyptic number.

It is an amenable number.

82171662337 is a deficient number, since it is larger than the sum of its proper divisors (1).

82171662337 is an equidigital number, since it uses as much as digits as its factorization.

82171662337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 508032, while the sum is 46.

The spelling of 82171662337 in words is "eighty-two billion, one hundred seventy-one million, six hundred sixty-two thousand, three hundred thirty-seven".