Gcd Sum

Problem Statement

$G(N)=\sum_{j=1}^N\sum_{i=1}^j \gcd(i,j)$.
You are given: $G(10)=122$.

Find $G(2^N)$.

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You need to submit in the format: "N:problem(N)", possibly with multiple values at once, separated by commas, with $N$ between $1$ and $100$.

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1
icy
$g(63)$, $40$ digits 1 week, 4 days ago
2
icy
$g(62)$, $39$ digits 1 week, 4 days ago
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icy
$g(61)$, $38$ digits 1 week, 5 days ago
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icy
$g(60)$, $38$ digits 1 week, 5 days ago
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shs10978
$g(51)$, $32$ digits 1 week, 5 days ago