#include using namespace std; int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); long long N; cin >> N; long long memoN = N; vector pf; { int e2 = 0,e3 = 0; while(N%2 == 0) e2++,N /= 2; while(N%3 == 0) e3++,N /= 3; if(e2 >= 2) pf.push_back(e2); if(e3 >= 2) pf.push_back(e3); } { long long i=5; while(i*i*i <= memoN){ int e = 0; while(N%i == 0) e++,N /= i; if(e >= 2) pf.push_back(e); e = 0; i += 2; while(N%i == 0) e++,N /= i; if(e >= 2) pf.push_back(e); i += 4; } } long long low = 2,high = 2e9; while(high-low > 1){ long long mid = (high+low)/2; if(mid*mid >= N) high = mid; else low = mid; } if(high*high == N) pf.push_back(2); int answer = 0,n = pf.size(); vector multi(n+1,1); for(int i=1; i<=n; i++){ int now = pf.at(i-1)+1; multi.at(i) = multi.at(i-1)*now; } swap(pf,multi); //まちがえた. //unordered_map M; auto dfs = [&](auto dfs,int left,int need) -> long long { //long long &ret = M[1001001001LL*left+need]; //if(ret){answer += ret; return ret;} int ret = 0; for(int i=0; i le) return 0; left -= ne*pf.at(i); } answer++; ret++; int next = left; if(need) ret += dfs(dfs,left,need); while(true){ int pos = 0; while(pos != n){ int now = next%pf.at(pos+1)/pf.at(pos); if(now == 0){ next += left%pf.at(pos+1)/pf.at(pos)*pf.at(pos); need -= left%pf.at(pos+1)/pf.at(pos)*pf.at(pos); pos++; } else{next -= pf.at(pos),need += pf.at(pos); break;} } if(pos == n) break; ret += dfs(dfs,next,need); } return ret; }; dfs(dfs,pf.at(n)-1,0); cout << answer << endl; }