olymmath

KöMaL 2015 B4687

    Samson wrote the number 123456789 on a sheet of paper. Then he may or may not have placed a multiplication sign between any two consecutive digits. (He may have used several of them, or none at all.) By reading the digits between multiplication signs as a single number, he obtained a product of numbers. For example, 1234⋅56⋅7891234 \cdot 56 \cdot 789. What is the maximum possible value of the number obtained in this way?

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