do intel 64 bit processors exist

i have an intel 32bit processor

i know these things

AMD athlonXP is a 32 bit processor

and AMD athlon62 is a 64 bit processor

now we have AMD X2 which is a dual core

1. so does it contain 2 cores of 32 bit processors
or 64 bit processors????

and i know that intel dual core contain two 32 bit processors

2. and do we have things like intel64 single core ???



please answer these two questions

and can anyone give prices of these two if at all they exist !!!!