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83828199973 = 731386305069
BaseRepresentation
bin100111000010010001…
…1001101001000100101
322000101010112210010011
41032010203031020211
52333140004344343
6102302105130221
76025224641320
oct1160443151045
9260333483104
1083828199973
1132607919411
12142b5a89971
137b9c293abb
1440b336b7b7
1522a960a29d
hex13848cd225

83828199973 has 8 divisors (see below), whose sum is σ = 98894097920. Its totient is φ = 69534912240.

The previous prime is 83828199953. The next prime is 83828200031. The reversal of 83828199973 is 37999182838.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83828199973 is a prime.

It is a super-2 number, since 2×838281999732 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83828199899 and 83828199908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83828199953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193152318 + ... + 193152751.

It is an arithmetic number, because the mean of its divisors is an integer number (12361762240).

Almost surely, 283828199973 is an apocalyptic number.

It is an amenable number.

83828199973 is a deficient number, since it is larger than the sum of its proper divisors (15065897947).

83828199973 is a wasteful number, since it uses less digits than its factorization.

83828199973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386305107.

The product of its digits is 47029248, while the sum is 67.

The spelling of 83828199973 in words is "eighty-three billion, eight hundred twenty-eight million, one hundred ninety-nine thousand, nine hundred seventy-three".

Divisors: 1 7 31 217 386305069 2704135483 11975457139 83828199973