I'd like Google to store only at most N bits of information about me. That way, when I type "python" in the search bar, Google knows I'm a programmer, and am not interested in results about snakes. However, google does not know what television show I watched last night, because that doesn't fit in the N bits that I'm allowing Google to store about me.

Viewed differently, the value of N specifies how uniquely identifiable the user is.