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6318964200025 = 52712732972
BaseRepresentation
bin101101111110011111110…
…0111011101001001011001
3211101002100110221202110001
41123330333213131021121
51312012214313400100
621234520404453001
71221346552323451
oct133747747351131
924332313852401
106318964200025
112016948612934
128607a83aa161
1336ab500a3229
1417bba782ad61
15ae5864add6a
hex5bf3f9dd259

6318964200025 has 81 divisors (see below), whose sum is σ = 8141715977463. Its totient is φ = 4865020876800.

The previous prime is 6318964200013. The next prime is 6318964200049. The reversal of 6318964200025 is 5200024698136.

The square root of 6318964200025 is 2513755.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 3941705949129 + 2377258250896 = 1985373^2 + 1541836^2 .

It is not a de Polignac number, because 6318964200025 - 211 = 6318964197977 is a prime.

It is a super-2 number, since 2×63189642000252 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 65143960777 + ... + 65143960873.

Almost surely, 26318964200025 is an apocalyptic number.

6318964200025 is the 2513755-th square number.

6318964200025 is the 1256878-th centered octagonal number.

It is an amenable number.

6318964200025 is a deficient number, since it is larger than the sum of its proper divisors (1822751777438).

6318964200025 is an frugal number, since it uses more digits than its factorization.

6318964200025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 6318964200025 in words is "six trillion, three hundred eighteen billion, nine hundred sixty-four million, two hundred thousand, twenty-five".

Divisors: 1 5 25 71 73 97 355 365 485 1775 1825 2425 5041 5183 5329 6887 7081 9409 25205 25915 26645 34435 35405 47045 126025 129575 133225 172175 177025 235225 367993 378359 488977 502751 516913 668039 686857 1839965 1891795 2444885 2513755 2584565 3340195 3434285 9199825 9458975 12224425 12568775 12922825 16700975 17171425 26863489 35695321 36700823 47430769 48766847 50140561 134317445 178476605 183504115 237153845 243834235 250702805 671587225 892383025 917520575 1185769225 1219171175 1253514025 2605758433 3462446137 3559979831 13028792165 17312230685 17799899155 65143960825 86561153425 88999495775 252758568001 1263792840005 6318964200025