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

if N == 1:
    print(0)
    exit()

ans = []
end = int(N ** (1/2))
for i in range(2, end + 1):
    while N % i == 0:
        ans.append(i)
        N = N // i

if len(ans) == 0:
    print(1)
    exit()

count = 0
trans = [1, 3, 6, 10, 15, 21, 28, 36, 45, 55]

res = 0
for i in range(len(ans) - 1):
    if ans[i] != ans[i+1]:
        for j in range(len(trans)):
            if count > trans[j]:
                continue
            else:
                res += (j + 1)
                break
        count = 1
    else:
        count += 1

if ans[-1] == ans[-2]:
    if ans[-1] == ans[0]:
        count += 1
    for j in range(len(trans)):
        if count > trans[j]:
            continue
        elif count == trans[j]:
            res += (j + 1)
            break
        else:
            res += (j)
            break
else:
    res += 1

print(res)

Fixed submission:
N = int(input())


hash = {}
end = int(N ** (1/2))
for i in range(2, end + 1):
    while N % i == 0:
        if i in hash:
            hash[i] += 1
        else:
            hash[i] = 1
        N = N // i
if N != 1:
        if N in hash:
            hash[N] += 1
        else:
            hash[N] = 1

if len(hash.keys()) == 0 and N != 1:
    print(1)
    exit()


count = 0
trans = [1, 3, 6, 10, 15, 21, 28, 36, 45, 55]

res = 0
for i in hash.values():
    for j in range(len(trans)):
        if i > trans[j]:
            continue
        elif i == trans[j]:
            res += (j + 1)
            break
        else:
            res += j
            break



print(res)

Buggy python submission (verdict: Time Limit Exceeded):
#23ぐらいまでで良さそう。
z = [2, 3, 4, 5, 7, 8, 9, 11, 13, 16, 17, 19, 23]

def primes(n):
    is_prime = [True] * (n + 1)
    is_prime[0] = False
    is_prime[1] = False
    for i in range(2, int(n**0.5) + 1):
        if not is_prime[i]:
            continue
        for j in range(i * 2, n + 1, i):
            is_prime[j] = False
    return [i for i in range(n + 1) if is_prime[i]]

sosuu = primes(10001000)
count = [0] * len(sosuu)
convert = [0] * 56

N = int(input())
ans = 0

flag = True
while (flag):
        flag = False
        for i in range(len(sosuu)):
                if N % sosuu[i] == 0:
                        N = N // sosuu[i]
                        count[i] += 1
                        flag = True

tmp = 0
for i in range(1, 11):
        tmp += i
        convert[tmp] = i
for i in range(1, len(convert)):
        if convert[i] == 0:
                convert[i] = convert[i - 1]


for i in count:
        ans += convert[i]

if N > sosuu[-1] and ans == 0:
        ans = 1
print(ans)





Fixed submission:
N = int(input())


hash = {}
end = int(N ** (1/2))
for i in range(2, end + 1):
    while N % i == 0:
        if i in hash:
            hash[i] += 1
        else:
            hash[i] = 1
        N = N // i
if N != 1:
        if N in hash:
            hash[N] += 1
        else:
            hash[N] = 1

if len(hash.keys()) == 0 and N != 1:
    print(1)
    exit()


count = 0
trans = [1, 3, 6, 10, 15, 21, 28, 36, 45, 55]

res = 0
for i in hash.values():
    for j in range(len(trans)):
        if i > trans[j]:
            continue
        elif i == trans[j]:
            res += (j + 1)
            break
        else:
            res += j
            break



print(res)