Google is the search giant. We know this. They also have a slew of productivity tools that help with email, writing, calculating, translations, analytics, RSS feeds, etc. Their productivity offerings are just as good as their search offering. Simply put, they're good.
However, Google as had two attempts at social media -- Google Buzz and Google Wave. Now, it could be argued that Google Wave is a productivity tool, but in my opinion, it's a social application for groups, business teams, friends and family. It makes communicating happen in real-time and social. Thus, why I categorized it as "social media."