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1684117983 = 323532292011
BaseRepresentation
bin110010001100001…
…1001100111011111
311100100222001120010
41210120121213133
511422113233413
6435040254303
756506523652
oct14430314737
94310861503
101684117983
11794705849
123b0011393
1320aba8622
1411d94d899
159ccb7dc3
hex646199df

1684117983 has 32 divisors (see below), whose sum is σ = 2398947840. Its totient is φ = 1048544640.

The previous prime is 1684117973. The next prime is 1684118003. The reversal of 1684117983 is 3897114861.

It is not a de Polignac number, because 1684117983 - 28 = 1684117727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1684117913) 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 in 31 ways as a sum of consecutive naturals, for example, 836448 + ... + 838458.

It is an arithmetic number, because the mean of its divisors is an integer number (74967120).

Almost surely, 21684117983 is an apocalyptic number.

1684117983 is a deficient number, since it is larger than the sum of its proper divisors (714829857).

1684117983 is a wasteful number, since it uses less digits than its factorization.

1684117983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319.

The product of its digits is 290304, while the sum is 48.

The square root of 1684117983 is about 41038.0065670836. The cubic root of 1684117983 is about 1189.7549063300.

The spelling of 1684117983 in words is "one billion, six hundred eighty-four million, one hundred seventeen thousand, nine hundred eighty-three".

Divisors: 1 3 23 53 69 159 229 687 1219 2011 3657 5267 6033 12137 15801 36411 46253 106583 138759 279151 319749 460519 837453 1381557 2451409 7354227 10591937 24407507 31775811 73222521 561372661 1684117983