Approx. How Many Managers, Directors, and VPS work at Google?

I came across this Harvard Review Article on Google's embrace of professional management a decade ago, which claims that in 2013 there were 5,000 managers, 1,000 directors, and 100 vice presidents (out of 37,000 employees). Does anybody have a rough sense of how many people sit in these role today in the company? I saw estimates for about 30,000 managers (pre-layoffs last year), but would love confirmation and estimates for directors and VPs. Any educated guesses / ballpark estimates would be most welcome