#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> // using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } using mint = modint998244353; void debug_mint1(vector &vec) { for (int i = 0; i < vec.size(); i++) { cerr << vec[i].val() << " "; } cerr << endl; } void debug_mint2(vector> &vec) { for (int i = 0; i < vec.size(); i++) { for (int j = 0; j < vec[i].size(); j++) { cerr << vec[i][j].val() << " "; } cerr << endl; } } ll floor_sqrt(ll X) { // 平方根の整数切り捨て。 ll left = 0; ll right = 3000000003; while (true) { if (right - left <= 1) { break; } ll center = (left + right) / 2; if (center * center > X) { right = center; } else { left = center; } } return left; } int main() { ll N; cin >> N; // 分割数を求める vector> dp(61, vector(61)); dp[0][0] = 1; for (ll i = 1; i <= 60; i++) { for (ll j = 0; j <= 60; j++) { for (ll k = j; k <= 60; k += i) { dp[i][k] += dp[i - 1][j]; } } } vector part(61, 0); for (ll i = 1; i <= 60; i++) { part[i] = dp[60][i]; } // debug(part); // 素因数分解をする map mp; ll N_cpy = N; for (ll i = 2; i * i * i <= N; i++) { while (N_cpy % i == 0) { N_cpy /= i; mp[i]++; } } ll ans = 1; for (auto it = mp.begin(); it != mp.end(); it++) { ans *= part[(it->second)]; } debug(N_cpy); ll flsq = floor_sqrt(N_cpy); if (flsq * flsq == N_cpy && N_cpy != 1) { ans *= part[2]; } cout << ans << endl; }