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982209566381 is a prime number
BaseRepresentation
bin11100100101100000100…
…00001001011010101101
310110220020212120202111012
432102300100021122231
5112043031122111011
62031115411435005
7130651032363431
oct16226020113255
93426225522435
10982209566381
1134960976a89a
1213a437bb5a65
13718115c1944
14357797ac9c1
151a8399a6a8b
hexe4b04096ad

982209566381 has 2 divisors, whose sum is σ = 982209566382. Its totient is φ = 982209566380.

The previous prime is 982209566363. The next prime is 982209566413. The reversal of 982209566381 is 183665902289.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 540616090756 + 441593475625 = 735266^2 + 664525^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-982209566381 is a prime.

It is a super-3 number, since 3×9822095663813 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 982209566381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (982209566881) 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, 491104783190 + 491104783191.

It is an arithmetic number, because the mean of its divisors is an integer number (491104783191).

Almost surely, 2982209566381 is an apocalyptic number.

It is an amenable number.

982209566381 is a deficient number, since it is larger than the sum of its proper divisors (1).

982209566381 is an equidigital number, since it uses as much as digits as its factorization.

982209566381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11197440, while the sum is 59.

The spelling of 982209566381 in words is "nine hundred eighty-two billion, two hundred nine million, five hundred sixty-six thousand, three hundred eighty-one".