// Original C++ solution (slower):
#include<stdio.h>

#include<stdlib.h>

#include<time.h>

typedef long long LL;

const int e[40]={0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,5,5,5,5,5,

               5,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,8,8,8,8};

const LL UnUseMethod=10e10;

LL count[2]={0};

LL IN(void)

{

  LL x=0;short f=0,c=getchar();while(c<48||c>57){f^=c==45,c=getchar();}

  while(c>47&&c<58){x=x*10+c-48,c=getchar();}return f?-x:x;

}

LL GCD(LL a,LL b){return !b?a:GCD(b,a%b);}

LL Mult(LL x,LL y,LL mod)

{LL temp=x*y-(LL)((long double)x/mod*y+1e-8)*mod;return temp<0?temp+mod:temp;}

LL BinaryModularPower(LL base,LL pow,LL mod)

{

  LL x=1;

  while(pow){if(pow&1){x=Mult(x,base,mod);}base=Mult(base,base,mod);pow>>=1;}

  return x;

}

LL f(LL x,LL mod,LL c){return (Mult(x,x,mod)+c)%x+1;}

void Exp(LL x,LL y){count[1]=0;while(!(x%y)){count[1]++;x/=y;}count[0]=x;return;}

int MillerRabin(const LL a)

{

  if(a==2)return 1;

  if(a%2==0||a==1)return 0;

  static int pr[7]={2,325,9375,28178,450775,9780504,1795265022};

  LL u=a-1,t=0,p=1;

  while(!(u&1)){u>>=1;t++;}

  for(int i=0;i<7;++i)

  {

    p=pr[i]%a;

    if(!p)return 1;

    LL x=BinaryModularPower(p,u,a);

    if(x==1)continue;

    for(int j=0;x!=a-1&&j<t;++j)

    {

      x=Mult(x,x,a);

      if(x==1)return 0;

    }

    if(x==a-1)continue;

    return 0;

  }

  return 1;

}

LL PollardRho(LL n,LL a)

{

  srand((unsigned int)time(NULL));

  LL x=rand()%n,y=x,gcd=1,k=0,i=1;

  while(gcd==1)

  {

    k++;

    x=Mult(x,x,n)+a;if(x>=n)x-=n;

    gcd=GCD(x>y?x-y:y-x,n);

    if(k==i){y=x;i<<=1;}

  }

  if(gcd==n)return PollardRho(n,a+1);

  return gcd;

}

int main(void)

{

  LL a=0,p=1,q=-1,N=IN();

  if(N<=1)return puts("0"),0;

  Exp(N,2);a=e[count[1]];N=count[0];

  Exp(N,3);a+=e[count[1]];N=count[0];

  while(q*q<=UnUseMethod)

  {

    p+=6,q+=6;

    Exp(N,p);a+=e[count[1]];N=count[0];

    Exp(N,q);a+=e[count[1]];N=count[0];

  }

  if(N<=UnUseMethod){if(N>1){a++;}return printf("%lld\n",a),0;}

  if(MillerRabin(N)){a++;return printf("%lld\n",a),0;}

  while(N>=UnUseMethod)

  {

    p=PollardRho(N,0);

    while(!MillerRabin(p))p=PollardRho(p,p);

    Exp(N,p);a+=e[count[1]];N=count[0];

  }

  if(MillerRabin(N)){a++;}return printf("%lld\n",a),0;

}

// Optimized solution to the same problem (faster):
#include<stdio.h>

#include<stdlib.h>

#include<math.h>

#include<time.h>

typedef long long LL;

const int e[40]={0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,5,5,5,5,5,

                 5,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,8,8,8,8};

const int mp[16]={1,3,5,7,11,15,21,33,35,55,77,105,165,231,385,1155};

const int results[16]={1,0,0,0,0,3,3,3,5,5,7,3,3,3,5,3};

const LL UnUseMethod=1e9+7;

const unsigned long LLONG=18446744073709551615U;

LL count[2]={0},Box[1000]={0},sz=0;

LL IN(void)

{

  LL x=0;short f=0,c=getchar();while(c<48||c>57){f^=c==45,c=getchar();}

  while(c>47&&c<58){x=x*10+c-48,c=getchar();}return f?-x:x;

}

LL GCD(LL a,LL b){return !b?a:GCD(b,a%b);}

LL Mult(LL x,LL y,LL mod)

{LL temp=x*y-(LL)((long double)x/mod*y+1e-8)*mod;return temp<0?temp+mod:temp;}

LL BinaryModularPower(LL base,LL pow,LL mod)

{

  LL x=1;

  while(pow){if(pow&1){x=Mult(x,base,mod);}base=Mult(base,base,mod);pow>>=1;}

  return x;

}

void Exp(LL x,LL y){count[1]=0;while(!(x%y)){count[1]++;x/=y;}count[0]=x;return;}

int MillerRabin(const LL a)

{

  if(a==2)return 1;

  if(a%2==0||a==1)return 0;

  static int pr[7]={2,325,9375,28178,450775,9780504,1795265022};

  LL u=a-1,t=0,p=1;

  while(!(u&1)){u>>=1;t++;}

  for(int i=0;i<7;++i)

  {

    p=pr[i]%a;

    if(!p)return 1;

    LL x=BinaryModularPower(p,u,a);

    if(x==1)continue;

    for(int j=0;x!=a-1&&j<t;++j)

    {

      x=Mult(x,x,a);

      if(x==1)return 0;

    }

    if(x==a-1)continue;

    return 0;

  }

  return 1;

}

LL Pseudo(const LL x){return (LL)((long double)pow(x,0.5));}

int PerfectSquare(const LL x){if(x<0)return 0;else{LL y=Pseudo(x);return x==y*y;}}

int PerfectCube(const LL x){LL z=(LL)cbrt(x);return x==z*z*z;}

LL iter(const LL x,const int k,const int lim,const int divisor)

{

  int i,j;LL bits,temp=GCD(k,x),sq=Pseudo(k*x),cutoff,p0,q0=1,p1,q1,Q,rootQ=0;

  cutoff=Pseudo(2*sq)/divisor,p1=sq;q1=(k*x-p1*p1);

  if(temp!=1)return temp;

  if((k*x)>>62)return 1;

  if(!q1){temp=GCD(x,p1);return temp==x?1:temp;}

  for(i=0;i<lim;i++)

  {

    temp=sq+p1-q1,Q=1;

    if(temp>=q1)Q+=temp/q1;

    p0=Q*q1-p1;q0=q0+Q*(p1-p0);

    if(q1<2*k*cutoff){temp=q1/GCD(q1,2*k);if(temp<cutoff)Box[sz++]=temp;}

    bits=0,temp=q0;

    while(!(temp&1)){bits++,temp>>=1;}

    if(!(bits&1)&&((temp&7)==1))

    {

      rootQ=Pseudo(q0);

      if(PerfectSquare(q0))

      {

        for(j=0;j<sz;++j){if(Box[j]==rootQ)break;}

        if(j==sz)break;

      }

    }

    temp=sq+p0-q0,Q=1;

    if(temp>=q0){Q+=temp/q0;}

    p1=Q*q0-p0,q1=q1+Q*(p0-p1);

    if(q0<2*k*cutoff){temp=q0/GCD(q0,2*k);if(temp<cutoff)Box[sz++]=temp;}

  }

  if(rootQ==1)return 1;

  if(i==lim)return 1;

  q0=rootQ,p1=p0+rootQ*((sq-p0)/rootQ);

  q1=(k*x-p1*p1)/q0;

  for(j=0;j<lim;j++)

  {

    Q=1,temp=sq+p1-q1;

    if(temp>=q1)Q+=temp/q1;

    p0=Q*q1-p1,q0=q0+Q*(p1-p0);

    if(p0==p1){q0=q1;break;}

    temp=sq+p0-q0,Q=1;

    if(temp>=q0)Q+=temp/q0;

    p1=Q*q0-p0,q1=q1+Q*(p0-p1);

    if(p0==p1)break;

  }

  temp=GCD(q0,x);

  if(temp==x)temp=1;

  return temp;

}

LL SQUFOF(LL x)

{

  LL y;

  if(MillerRabin(x))return x;

  if(PerfectSquare(x))return Pseudo(x);

  if(PerfectCube(x))return (LL)cbrt(x);

  for(int i=1;i<20000;i*=4)

  {

    for(int k=0;k<16;k++)

    {

      if(x==mp[k])return results[k];

      if(LLONG/mp[k]<=x)continue;

      y=iter(x,mp[k],300*i,1);

      if(y==1||y==x)continue;

      return y;

    }

  }

  return 1;

}

int main(void)

{

  LL a=0,p=1,q=-1,N=IN();

  if(N<=1)return puts("0"),0;

  Exp(N,2);a=e[count[1]];N=count[0];

  Exp(N,3);a+=e[count[1]];N=count[0];

  while(q*q<=UnUseMethod)

  {

    p+=6,q+=6;

    Exp(N,p);a+=e[count[1]];N=count[0];

    Exp(N,q);a+=e[count[1]];N=count[0];

  }

  if(N<=UnUseMethod){if(N>1){a++;}return printf("%lld\n",a),0;}

  if(MillerRabin(N)){a++;return printf("%lld\n",a),0;}

  while(N>=UnUseMethod)

  {

    p=SQUFOF(N);

    while(p<q)p=SQUFOF(p);

    while(!MillerRabin(p))p=SQUFOF(p);

    Exp(N,p);a+=e[count[1]];N=count[0];

  }

  if(MillerRabin(N)){a++;}return printf("%lld\n",a),0;

}

// Fastest known solution for this problem: