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8083879668 = 2232224552213
BaseRepresentation
bin1111000011101011…
…00011011011110100
3202212101020122011200
413201311203123310
5113023433122133
63414053332500
7404216562204
oct74165433364
922771218150
108083879668
113479159497
121697337130
139baa31367
145698a0404
15324a68913
hex1e1d636f4

8083879668 has 18 divisors (see below), whose sum is σ = 20434251474. Its totient is φ = 2694626544.

The previous prime is 8083879651. The next prime is 8083879673. The reversal of 8083879668 is 8669783808.

It can be written as a sum of positive squares in only one way, i.e., 6370913124 + 1712966544 = 79818^2 + 41388^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×80838796682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 in 5 ways as a sum of consecutive naturals, for example, 112276071 + ... + 112276142.

It is an arithmetic number, because the mean of its divisors is an integer number (1135236193).

Almost surely, 28083879668 is an apocalyptic number.

It is an amenable number.

8083879668 is an abundant number, since it is smaller than the sum of its proper divisors (12350371806).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8083879668 is a wasteful number, since it uses less digits than its factorization.

8083879668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224552223 (or 224552218 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The square root of 8083879668 is about 89910.3979971171. The cubic root of 8083879668 is about 2006.9656837930.

The spelling of 8083879668 in words is "eight billion, eighty-three million, eight hundred seventy-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 224552213 449104426 673656639 898208852 1347313278 2020969917 2694626556 4041939834 8083879668