#include #ifdef LOCAL #include #else #define debug(...) void(0) #endif template std::istream& operator>>(std::istream& is, std::vector& v) { for (auto& e : v) { is >> e; } return is; } template std::ostream& operator<<(std::ostream& os, const std::vector& v) { for (std::string_view sep = ""; const auto& e : v) { os << std::exchange(sep, " ") << e; } return os; } template bool chmin(T& x, U&& y) { return y < x and (x = std::forward(y), true); } template bool chmax(T& x, U&& y) { return x < y and (x = std::forward(y), true); } template void mkuni(std::vector& v) { std::ranges::sort(v); auto result = std::ranges::unique(v); v.erase(result.begin(), result.end()); } template int lwb(const std::vector& v, const T& x) { return std::distance(v.begin(), std::ranges::lower_bound(v, x)); } using ll = long long; using namespace std; const int MAX = 60; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(15); ll N; cin >> N; vector> v; for (ll i = 2; i * i * i <= N; i++) { if (N % i != 0) continue; int cnt = 0; while (N % i == 0) { N /= i; cnt++; } v.emplace_back(i, cnt); } ll lb = 0, ub = 1e9 + 10; while (ub - lb > 1) { ll mid = (lb + ub) >> 1; (mid * mid <= N ? lb : ub) = mid; } if (lb > 1 and lb * lb == N) { v.emplace_back(lb, 2); N = 1; } vector dp(MAX + 1, vector(MAX + 1, 0)); dp[0][0] = 1; for (int i = 1; i <= MAX; i++) { for (int j = 0; j <= MAX; j++) dp[i][j] += dp[i - 1][j]; for (int j = 0; j + i <= MAX; j++) dp[i][j + i] += dp[i][j]; } ll ans = 1; for (auto [val, cnt] : v) ans *= dp[MAX][cnt]; cout << ans << "\n"; return 0; }