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82413855324481 is a prime number
BaseRepresentation
bin10010101111010001111000…
…100100100011100101000001
3101210210200120021111122122211
4102233101320210203211001
541300232033430340411
6451140222533302121
723234130106622422
oct2257217044434501
9353720507448584
1082413855324481
112429457989570a
1292b0435494941
1336ca79338a275
14164cbcd7bd649
1597db908b6221
hex4af478923941

82413855324481 has 2 divisors, whose sum is σ = 82413855324482. Its totient is φ = 82413855324480.

The previous prime is 82413855324443. The next prime is 82413855324529. The reversal of 82413855324481 is 18442355831428.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48837161512881 + 33576693811600 = 6988359^2 + 5794540^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82413855324481 is a prime.

It is a super-2 number, since 2×824138553244812 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82413855324881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41206927662240 + 41206927662241.

It is an arithmetic number, because the mean of its divisors is an integer number (41206927662241).

Almost surely, 282413855324481 is an apocalyptic number.

It is an amenable number.

82413855324481 is a deficient number, since it is larger than the sum of its proper divisors (1).

82413855324481 is an equidigital number, since it uses as much as digits as its factorization.

82413855324481 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 29491200, while the sum is 58.

The spelling of 82413855324481 in words is "eighty-two trillion, four hundred thirteen billion, eight hundred fifty-five million, three hundred twenty-four thousand, four hundred eighty-one".