AMC 12B 2014 Problem 15

Past Contests AMC 12 AMC 12B - 2014
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1

When p=\sum_{k=1}^{6} k \ln k, the number e^{p} is an integer. What is the largest power of 2 that is a factor of e^{p} ?

Answer Choices
A. 2^{12}
B. 2^{14}
C. 2^{16}
D. 2^{18}
E. 2^{20}