import java.io.FileNotFoundException; import java.io.IOException; import java.io.InputStream; import java.util.ArrayList; import java.util.Arrays; import java.util.HashMap; import java.util.Map; import java.util.NoSuchElementException; public class Main { public static void main(String[] args) throws FileNotFoundException { long t = System.currentTimeMillis(); new Main().run(); System.err.println(System.currentTimeMillis() - t); } long pow(long a,long n) { long ret=1; for(;n>0;n>>=1,a=a*a)if(n%2==1)ret*=a; return ret; } void run() { Scanner sc = new Scanner(); long N=sc.nextLong(); long K=sc.nextLong(); long M=sc.nextLong(); ArrayList pdiv=new ArrayList<>(); ArrayList es=new ArrayList<>(); for(long div=2;div*div<=N;++div) { if(N%div!=0)continue; int e=0; while(N%div==0) { N/=div;++e; } if(e>0) { pdiv.add(div); es.add(e); } } if(N>1) { pdiv.add(N); es.add(1); } HashMap dp=new HashMap<>(); dp.put(1L,1); for(int i=0;i ndp=new HashMap<>(dp); for(HashMap.Entry entry:dp.entrySet()) { for(int e=1;entry.getKey()*pow(p,e)<=M&&e<=K*es.get(i);++e) { long nextVal=entry.getKey()*pow(p,e); int add=entry.getValue(); if(ndp.containsKey(nextVal)){ ndp.put(nextVal, ndp.get(nextVal)+add); }else { ndp.put(nextVal,add); } } } dp=ndp; } long ans=0; for(HashMap.Entry entry:dp.entrySet()) { ans+=entry.getValue(); } System.out.println(ans); } class Scanner { private final InputStream in = System.in; private final byte[] buffer = new byte[1024]; private int ptr = 0; private int buflen = 0; private boolean hasNextByte() { if (ptr < buflen) { return true; } else { ptr = 0; try { buflen = in.read(buffer); } catch (IOException e) { e.printStackTrace(); } if (buflen <= 0) { return false; } } return true; } private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1; } private boolean isPrintableChar(int c) { return 33 <= c && c <= 126; } private void skipUnprintable() { while (hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; } public boolean hasNext() { skipUnprintable(); return hasNextByte(); } public String next() { if (!hasNext()) throw new NoSuchElementException(); StringBuilder sb = new StringBuilder(); int b = readByte(); while (isPrintableChar(b)) { sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } public long nextLong() { if (!hasNext()) throw new NoSuchElementException(); long n = 0; boolean minus = false; int b = readByte(); if (b == '-') { minus = true; b = readByte(); } if (b < '0' || '9' < b) { throw new NumberFormatException(); } while (true) { if ('0' <= b && b <= '9') { n *= 10; n += b - '0'; } else if (b == -1 || !isPrintableChar(b)) { return minus ? -n : n; } else { throw new NumberFormatException(); } b = readByte(); } } public int nextInt() { return (int) nextLong(); } } static void tr(Object... objects) { System.out.println(Arrays.deepToString(objects)); } }