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Sum of Divisors of 21870000000
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What is the sum of all positive divisors of 21870000000 .

saved under My Puzzles/Mathematics/May 2008 by syam1224

 
Sum of Divisors is 8^3
comment by fabia on 2008-05-02 02:14:45
81999790080
comment by puzzles on 2008-05-02 03:03:41
N=2^7*3^7*5^7
comment by puzzles on 2008-05-02 05:33:42
21870000000 = 2^7*5^7*3^7

Sum of all possible divisors can be represented as

(1+2+2^2.....+2^7)*(1+3+3^2....+3^7)*(1+5+5^2....+5^7)

Sum of the above GPs are

(2^8-1)/(2-1)*(3^8-1)/(3-1)*(5^8-1)/(5-1)

=81679478400 

comment by syam1224 on 2008-05-02 11:41:10
 



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