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82357664261 is a prime number
BaseRepresentation
bin100110010110011100…
…1100011101000000101
321212120122110211100112
41030230321203220011
52322132030224021
6101500134322405
75643620411225
oct1145471435005
9255518424315
1082357664261
1131a22833144
1213b654b9405
1379c6719a22
143db3d38085
152220480d5b
hex132ce63a05

82357664261 has 2 divisors, whose sum is σ = 82357664262. Its totient is φ = 82357664260.

The previous prime is 82357664239. The next prime is 82357664281. The reversal of 82357664261 is 16246675328.

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., 66618707236 + 15738957025 = 258106^2 + 125455^2 .

It is a cyclic number.

It is not a de Polignac number, because 82357664261 - 210 = 82357663237 is a prime.

It is a super-2 number, since 2×823576642612 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82357664201) 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, 41178832130 + 41178832131.

It is an arithmetic number, because the mean of its divisors is an integer number (41178832131).

Almost surely, 282357664261 is an apocalyptic number.

It is an amenable number.

82357664261 is a deficient number, since it is larger than the sum of its proper divisors (1).

82357664261 is an equidigital number, since it uses as much as digits as its factorization.

82357664261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2903040, while the sum is 50.

The spelling of 82357664261 in words is "eighty-two billion, three hundred fifty-seven million, six hundred sixty-four thousand, two hundred sixty-one".