paging problem :-(

A computer uses 46 bit virtual address, 32 bit physical address, and a 3 level paged table organization. The page table base register stores the base address of the first level page table T1 which occupies exactly one page. Each entry of T1 stores the base address of a page of the second level table T2. Each entry of T2 stores the base address of a page of the third level page table T3. Each entry of T3 stores a page table entry (PTE) . The PTE is 32 bit in size. The processor used in the computer has a 1 MB 16 way set associative vitually indexed physically tagged cache . The cache block size is 64 byte.
What is the size of a page in KB in this computer ???
what is the minimum number of page color needed to guarantee that no two synonyms map to different sets in the processor cache of this computer ????