Let N=2^(1224)-1, alpha =2^(153)+2^(77)+...

Let `N=2^(1224)-1, alpha =2^(153)+2^(77)+1 and beta=2^(408)-2^(204)+1`. Then which of the following statement is correct ?

`alpha` divides N but `beta` does not

`beta` divides N but `alpha` does not

`alpha` and `beta` both divide N

neither `alpha` nor `beta` divides N

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