Answer-
The smallest power of 10 that will exceed M is 12.
Solution-
Here,
[tex]M = 624,619,430,000[/tex]
Writing this number in scientific notation,
[tex]M = 624,619,430,000 = 6.24619430\times 10^{11}[/tex]
As the given number is the order of 11, so the next order will be greater than M.
So the next order of 10 will be,
[tex]=10^{11+1}[/tex]
[tex]=10^{12}[/tex]
Therefore, the smallest power of 10 that will exceed M is 12.