Multiplied by 9

Let's find a number, which satisfies the next condition:

Every digit, except the first, is larger than the previous one.

Now multiply it by \(9\). Let be the amount of the digits of the result \(S\). Find the maximum of \(S\).

For example: The number is \(1349\). \(1349*9=12141\). The sum of the digits is \(1+2+1+4+1=9\). So \(9\) is a possible value of \(S\).

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