// https://codeforces.com/blog/entry/96344 #pragma GCC optimize("O3,unroll-loops") #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt") #include using namespace std; using ll = long long; using u32 = unsigned int; using u64 = unsigned long long; using i128 = __int128; using u128 = unsigned __int128; using f128 = __float128; template bool chmax(T& a, const T& b) { bool res = a < b; a = max(a, b); return res; } template bool chmin(T& a, const T& b){ bool res = a > b; a = min(a, b); return res; } typedef vector vl; typedef pair pll; typedef vector> vll; typedef vector vi; typedef vector> vii; typedef pair pii; const int inf = 1000000009; const ll linf = 4000000000000000009; // https://trap.jp/post/1224/ template void input(T&... a){ (cin >> ... >> a); } void print(){ cout << '\n'; } template void print(const T& a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; } #define rep1(a) for(int i = 0; i < a; i++) #define rep2(i, a) for(int i = 0; i < a; i++) #define rep3(i, a, b) for(int i = a; i < b; i++) #define rep4(i, a, b, c) for(int i = a; i < b; i += c) #define overload4(a, b, c, d, e, ...) e #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define eb emplace_back #define mp make_pair #define mt make_tuple #define fi first #define se second //--------------------------------- vector part(ll n, ll m){ vector dp(m+1, vector(n+1, 0)); dp[0][0] = 1; rep(i, 1, m+1){ rep(j, n+1){ if(j-i >= 0){ dp[i][j] = dp[i-1][j] + dp[i][j-i]; } else { dp[i][j] = dp[i-1][j]; } } } vector res(m); rep(i, m){ res[i] = dp[i][n]; } return res; } template std::vector> prime_factor(T n) { std::vector> ret; for (T i = 2; i * i <= n; i++) { if (n % i != 0) continue; T tmp = 0; while (n % i == 0) { tmp++; n /= i; } ret.push_back(std::make_pair(i, tmp)); } if (n != 1) ret.push_back(std::make_pair(n, 1)); return ret; } void solve(){ ll n; cin >> n; auto facts = prime_factor(n); vector> parts; ll mx = 0; //cout << "HELLO" << endl; for(auto [p, e]: facts){ if(e==1) continue; parts.push_back(part(e, 10)); //print(p, e); chmax(mx, e); } ll ans = 1; int s = parts.size(); rep(L, 2, mx+1){ rep(j, s){ ll cur = parts[j][L]-parts[j][L-1]; if(cur < 1) continue; rep(i, j){ cur *= parts[i][L-1]; } rep(i, j+1, s){ cur *= parts[i][L]; } ans += cur; } //print(parts[0][L]-parts[0][L-1]); } print(ans); } int main(){ ios::sync_with_stdio(false); cin.tie(0); int t = 1; //cin >> t; rep(i,0,t) solve(); }