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82171662329 is a prime number
BaseRepresentation
bin100110010000111010…
…0000000111111111001
321212002200110221200002
41030201310000333321
52321241421143304
6101425451522345
75636201414441
oct1144164007771
9255080427602
1082171662329
1131937841139
1213b131593b5
137997024003
143d9735b121
15220de8e31e
hex1321d00ff9

82171662329 has 2 divisors, whose sum is σ = 82171662330. Its totient is φ = 82171662328.

The previous prime is 82171662299. The next prime is 82171662337. The reversal of 82171662329 is 92326617128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72442799104 + 9728863225 = 269152^2 + 98635^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82171662329 is a prime.

It is a super-2 number, since 2×821716623292 (a number of 23 digits) contains 22 as substring.

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 (82171662359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41085831164 + 41085831165.

It is an arithmetic number, because the mean of its divisors is an integer number (41085831165).

Almost surely, 282171662329 is an apocalyptic number.

It is an amenable number.

82171662329 is a deficient number, since it is larger than the sum of its proper divisors (1).

82171662329 is an equidigital number, since it uses as much as digits as its factorization.

82171662329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 435456, while the sum is 47.

The spelling of 82171662329 in words is "eighty-two billion, one hundred seventy-one million, six hundred sixty-two thousand, three hundred twenty-nine".