Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())

ans = 0

def prime_factorize(n: int):
    a = []
    f = 2
    while n > 1:
        if n % f == 0:
            a.append(f)
            n /= f
        else:
            f += 1
    return set(a)

prime_list = prime_factorize(N)

if prime_list:
    for prime_num in prime_list:
        if N % prime_num == 0:
            i = 1
            while N % prime_num**i == 0:
                N //= prime_num**i
                ans += 1
                i += 1
print(ans)


Fixed submission:
N = int(input())

ans = 0

# if N % 2 == 0:
#     i = 1
#     while N % 2**i == 0:
#         N //= 2**i
#         ans += 1
#         i += 1

# if N % 3 == 0:
#     i = 1
#     while N % 3**i == 0:
#         N //= 3**i
#         ans += 1
#         i += 1

# if N % 5 == 0:
#     i = 1
#     while N % 5**i == 0:
#         N //= 5**i
#         ans += 1
#         i += 1

# if N % 7 == 0:
#     i = 1
#     while N % 7**i == 0:
#         N //= 7**i
#         ans += 1
#         i += 1

# if N % 11 == 0:
#     i = 1
#     while N % 11**i == 0:
#         N //= 11**i
#         ans += 1
#         i += 1

# if N % 13 == 0:
#     i = 1
#     while N % 13**i == 0:
#         N //= 13**i
#         ans += 1
#         i += 1

def prime_factorize(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        a.append(n)
    return set(a)

prime_list = prime_factorize(N)

if prime_list:
    for prime_num in prime_list:
        if N % prime_num == 0:
            for j in range(1, 100):
                if N < prime_num**j:
                    break
                if N % prime_num**j == 0:
                    # print(prime_num, j)
                    N //= prime_num**j
                    ans += 1
# print(N)
# print(prime_list)
print(ans)

Buggy python submission (verdict: Runtime Error):
N = int(input())

def factorize(x):
    factor = {}
    for num in range(2, int(x**0.5)+1):
        while x % num == 0:
            x = x // num
            try:
                factor[num] += 1
            except:
                factor[num] = 1
        if x != 1:
            factor[x] = 1
        return factor

prime_factor_list = factorize(N)
# print(prime_factor_list)
ans = 0

for key in prime_factor_list.keys():
    key_num = prime_factor_list[key] #{2:6}なら6
    nokori = key_num
    for i in range(1, key_num+1): #1~6まで
        if nokori < i:
            break#次の素数へ
        nokori -= i
        if N % key**i == 0:
            N //= key**i
            ans += 1
        else:
            break
print(ans)


Fixed submission:
N = int(input())

ans = 0

# if N % 2 == 0:
#     i = 1
#     while N % 2**i == 0:
#         N //= 2**i
#         ans += 1
#         i += 1

# if N % 3 == 0:
#     i = 1
#     while N % 3**i == 0:
#         N //= 3**i
#         ans += 1
#         i += 1

# if N % 5 == 0:
#     i = 1
#     while N % 5**i == 0:
#         N //= 5**i
#         ans += 1
#         i += 1

# if N % 7 == 0:
#     i = 1
#     while N % 7**i == 0:
#         N //= 7**i
#         ans += 1
#         i += 1

# if N % 11 == 0:
#     i = 1
#     while N % 11**i == 0:
#         N //= 11**i
#         ans += 1
#         i += 1

# if N % 13 == 0:
#     i = 1
#     while N % 13**i == 0:
#         N //= 13**i
#         ans += 1
#         i += 1

def prime_factorize(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        a.append(n)
    return set(a)

prime_list = prime_factorize(N)

if prime_list:
    for prime_num in prime_list:
        if N % prime_num == 0:
            for j in range(1, 100):
                if N < prime_num**j:
                    break
                if N % prime_num**j == 0:
                    # print(prime_num, j)
                    N //= prime_num**j
                    ans += 1
# print(N)
# print(prime_list)
print(ans)