#include using namespace std; int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); long long N; cin >> N; vector pf; { int e2 = 0,e3 = 0; while(N%2 == 0) e2++,N /= 2; while(N%3 == 0) e3++,N /= 3; if(e2) pf.push_back(e2); if(e3) pf.push_back(e3); } { long long i=5; while(i*i <= N){ int e = 0; while(N%i == 0) e++,N /= i; if(e) pf.push_back(e); e = 0; i += 2; while(N%i == 0) e++,N /= i; if(e) pf.push_back(e); i += 4; } if(N != 1) pf.push_back(1); } int answer = 0,n = pf.size(); map,vector>,long long> M; auto dfs = [&](auto dfs,vector pf,vector need,bool first = false) -> long long { long long &ret = M[{pf,need}]; if(ret){answer += ret; return ret;} bool allzero = true; for(int i=0; i pf.at(i)) return 0; pf.at(i) -= need.at(i); if(pf.at(i)) allzero = false; } ret++; answer++; if(allzero) return ret; vector next = need; vector memo = pf; if(first == false) ret += dfs(dfs,pf,need); while(true){ int pos = 0; while(pos != n){ pf.at(pos)--; need.at(pos)++; if(pf.at(pos) >= 0) break; need.at(pos) -= memo.at(pos)+1; pf.at(pos) = memo.at(pos); pos++; } if(pos == n) break; ret += dfs(dfs,pf,need); } return ret; }; vector need(pf.size()); dfs(dfs,pf,need,true); cout << answer << endl; }