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6644695225 = 52721721372
BaseRepresentation
bin1100011000000111…
…00000000010111001
3122011002011111021011
412030003200002321
5102102020221400
63015202513521
7323442656200
oct61403400271
918132144234
106644695225
1128aa836963
1213553658a1
1381b81332c
144706ac237
1528d5338ba
hex18c0e00b9

6644695225 has 81 divisors (see below), whose sum is σ = 10256461383. Its totient is φ = 4257039360.

The previous prime is 6644695223. The next prime is 6644695241. The reversal of 6644695225 is 5225964466.

The square root of 6644695225 is 81515.

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 1779911721 + 4864783504 = 42189^2 + 69748^2 .

It is not a de Polignac number, because 6644695225 - 21 = 6644695223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (6644695223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 48501357 + ... + 48501493.

Almost surely, 26644695225 is an apocalyptic number.

6644695225 is the 81515-th square number.

6644695225 is the 40758-th centered octagonal number.

It is an amenable number.

6644695225 is a deficient number, since it is larger than the sum of its proper divisors (3611766158).

6644695225 is a wasteful number, since it uses less digits than its factorization.

6644695225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 166 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 49.

The cubic root of 6644695225 is about 1880.0021903739.

Multiplying 6644695225 by its sum of digits (49), we get a square (325590066025 = 5706052).

6644695225 divided by its sum of digits (49) gives a square (135606025 = 116452).

It can be divided in two parts, 664 and 4695225, that added together give a square (4695889 = 21672).

The spelling of 6644695225 in words is "six billion, six hundred forty-four million, six hundred ninety-five thousand, two hundred twenty-five".

Divisors: 1 5 7 17 25 35 49 85 119 137 175 245 289 425 595 685 833 959 1225 1445 2023 2329 2975 3425 4165 4795 6713 7225 10115 11645 14161 16303 18769 20825 23975 33565 39593 50575 58225 70805 81515 93845 114121 131383 167825 197965 277151 319073 354025 407575 469225 570605 656915 919681 989825 1385755 1595365 1940057 2233511 2853025 3284575 4598405 5424241 6928775 7976825 9700285 11167555 15634577 22992025 27121205 37969687 48501425 55837775 78172885 135606025 189848435 265787809 390864425 949242175 1328939045 6644695225