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1683820813 is a prime number
BaseRepresentation
bin110010001011101…
…0001000100001101
311100100101221220211
41210113101010031
511422024231223
6435030042421
756504145403
oct14427210415
94310357824
101683820813
11794522554
123abaa9411
1320ab0329c
1411d8b3473
159cc59d0d
hex645d110d

1683820813 has 2 divisors, whose sum is σ = 1683820814. Its totient is φ = 1683820812.

The previous prime is 1683820799. The next prime is 1683820849. The reversal of 1683820813 is 3180283861.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1583880804 + 99940009 = 39798^2 + 9997^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1683820813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1683821813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 841910406 + 841910407.

It is an arithmetic number, because the mean of its divisors is an integer number (841910407).

Almost surely, 21683820813 is an apocalyptic number.

It is an amenable number.

1683820813 is a deficient number, since it is larger than the sum of its proper divisors (1).

1683820813 is an equidigital number, since it uses as much as digits as its factorization.

1683820813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 1683820813 is about 41034.3857392797. The cubic root of 1683820813 is about 1189.6849230574.

The spelling of 1683820813 in words is "one billion, six hundred eighty-three million, eight hundred twenty thousand, eight hundred thirteen".