Question 1162657
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As I understand the problem, it asks to find all INTEGER solutions.


Notice that any number of the form  abcabc is  this product  1001*abc,  and 1001 is  7*11*13.


So, in order for  {{{(9*M)/64}}}  be an integer, where  M = defdef = 1001*def = 7*11*13*def, the number def must be multiple of 64.


From this  <U>HINT</U>, complete the solution on your own.
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