Number having sexagesimal expansion end with infinitely many zeros?
I am looking for all the real numbers whose sexagesimal expansion (base $60$) ends in infinite tail of zeros. Does they really exist?
It seems absurd to me or mm thinking it in a wrong manner?
$$ \forall n,a \in N, 60 \ mid n \lor a = 0 $$ $$ \frac {n} {60^a} $$