# L.C.M. and ordered pairs

If the number of ordered pairs of positive integers $$(a, b)$$ such that the least common multiple of $$a$$ and $$b$$ is $$2^5.5^{11}.11^{17}$$ is $$A$$, then find the sum of digits of $$A$$.

Details and Assumptions

If the value of A is $$3456$$, then you enter $$3+4+5+6 = 18$$ as your answer.

You may use a calculator.

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