macro_rules! input { (source = $s:expr, $($r:tt)*) => { let mut iter = $s.split_whitespace(); let mut next = || { iter.next().unwrap() }; input_inner!{next, $($r)*} }; ($($r:tt)*) => { let stdin = std::io::stdin(); let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock())); let mut next = move || -> String{ bytes .by_ref() .map(|r|r.unwrap() as char) .skip_while(|c|c.is_whitespace()) .take_while(|c|!c.is_whitespace()) .collect() }; input_inner!{next, $($r)*} }; } macro_rules! input_inner { ($next:expr) => {}; ($next:expr, ) => {}; ($next:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($next, $t); input_inner!{$next $($r)*} }; } macro_rules! read_value { ($next:expr, ( $($t:tt),* )) => { ( $(read_value!($next, $t)),* ) }; ($next:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($next, $t)).collect::>() }; ($next:expr, Chars) => { read_value!($next, String).chars().collect::>() }; ($next:expr, Usize1) => { read_value!($next, usize) - 1 }; ($next:expr, $t:ty) => { $next().parse::<$t>().expect("Parse error") }; } const MOD: u64 = 1_000_000_007; fn f(k: u64, n: u64) -> u64 { if k == 1 { let mut res = 1; let mut m = n; for i in (2..).take_while(|&i| i * i <= n) { while m % i == 0 { res = res * (i + 1) % MOD; m /= i; } } if m > 1 { res = res * (m + 1) % MOD; } return res; } if k % 2 == 0 { f(k / 2, f(k / 2, n) % MOD) % MOD } else { f(1, f(k - 1, n) % MOD) % MOD } } fn main() { input! { n: u64, k: u64, } println!("{}", f(k, n)); }