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6371980225 = 521324013761
BaseRepresentation
bin1011110111100110…
…01011001111000001
3121110002000010121121
411323303023033001
5101022211331400
62532141352241
7313621636552
oct57363131701
917402003547
106371980225
11277a8a9066
121299b68681
137a7179800
1444639c329
1527461421a
hex17bccb3c1

6371980225 has 36 divisors (see below), whose sum is σ = 8579414052. Its totient is φ = 4692480000.

The previous prime is 6371980217. The next prime is 6371980247. The reversal of 6371980225 is 5220891736.

It can be written as a sum of positive squares in 18 ways, for example, as 4525387441 + 1846592784 = 67271^2 + 42972^2 .

It is not a de Polignac number, because 6371980225 - 23 = 6371980217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1692345 + ... + 1696105.

It is an arithmetic number, because the mean of its divisors is an integer number (238317057).

Almost surely, 26371980225 is an apocalyptic number.

6371980225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6371980225 is a deficient number, since it is larger than the sum of its proper divisors (2207433827).

6371980225 is a wasteful number, since it uses less digits than its factorization.

6371980225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 6371980225 is about 79824.6843088026. The cubic root of 6371980225 is about 1853.9220639220.

The spelling of 6371980225 in words is "six billion, three hundred seventy-one million, nine hundred eighty thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 401 845 2005 3761 4225 5213 10025 18805 26065 48893 67769 94025 130325 244465 338845 635609 1222325 1508161 1694225 3178045 7540805 15890225 19606093 37704025 98030465 254879209 490152325 1274396045 6371980225