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1682288640713 is a prime number
BaseRepresentation
bin11000011110110000001…
…101111000001011001001
312221211021120212112211002
4120132300031320023021
5210030311343000323
63324455511544345
7232353452336402
oct30366015701311
95854246775732
101682288640713
1159950009817a
1223205708b0b5
13c2840256815
145b5cd3b89a9
152db6097d828
hex187b03782c9

1682288640713 has 2 divisors, whose sum is σ = 1682288640714. Its totient is φ = 1682288640712.

The previous prime is 1682288640707. The next prime is 1682288640719. The reversal of 1682288640713 is 3170468822861.

It is a balanced prime because it is at equal distance from previous prime (1682288640707) and next prime (1682288640719).

It can be written as a sum of positive squares in only one way, i.e., 1679128739344 + 3159901369 = 1295812^2 + 56213^2 .

It is an emirp because it is prime and its reverse (3170468822861) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1682288640713 - 226 = 1682221531849 is a prime.

It is a super-2 number, since 2×16822886407132 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1682288640719) 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, 841144320356 + 841144320357.

It is an arithmetic number, because the mean of its divisors is an integer number (841144320357).

Almost surely, 21682288640713 is an apocalyptic number.

It is an amenable number.

1682288640713 is a deficient number, since it is larger than the sum of its proper divisors (1).

1682288640713 is an equidigital number, since it uses as much as digits as its factorization.

1682288640713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6193152, while the sum is 56.

The spelling of 1682288640713 in words is "one trillion, six hundred eighty-two billion, two hundred eighty-eight million, six hundred forty thousand, seven hundred thirteen".