big man vs heavy hitter

big man

noun
  • Synonym of big guy (“term of endearment”) 

  • A corrupt, autocratic ruler. 

  • A male individual in a tribe who has great status and influence, especially in Melanesia and Polynesia. 

heavy hitter

noun
  • A person of considerable importance who is a major decision maker or capable achiever; an especially significant organization or an especially functional object. 

  • A player with a favorable batting average who is especially good at hitting the ball deep into the outfield or farther. 

  • In any sport, a strong, physical player who is particularly effective. 

How often have the words big man and heavy hitter occurred in a corpus of books? (source: Google Ngram Viewer )