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82017346421 is a prime number
BaseRepresentation
bin100110001100010011…
…1010110001101110101
321211200221002220001002
41030120213112031311
52320432420041141
6101402300213045
75632315641023
oct1143047261565
9254627086032
1082017346421
113186872132a
1213a8b53a185
13797107381a
143d80a6b713
15220065ae9b
hex13189d6375

82017346421 has 2 divisors, whose sum is σ = 82017346422. Its totient is φ = 82017346420.

The previous prime is 82017346399. The next prime is 82017346441. The reversal of 82017346421 is 12464371028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60806628100 + 21210718321 = 246590^2 + 145639^2 .

It is a cyclic number.

It is not a de Polignac number, because 82017346421 - 26 = 82017346357 is a prime.

It is a super-2 number, since 2×820173464212 (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 (82017346441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41008673210 + 41008673211.

It is an arithmetic number, because the mean of its divisors is an integer number (41008673211).

Almost surely, 282017346421 is an apocalyptic number.

It is an amenable number.

82017346421 is a deficient number, since it is larger than the sum of its proper divisors (1).

82017346421 is an equidigital number, since it uses as much as digits as its factorization.

82017346421 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64512, while the sum is 38.

The spelling of 82017346421 in words is "eighty-two billion, seventeen million, three hundred forty-six thousand, four hundred twenty-one".