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963018382225 = 5241247872
BaseRepresentation
bin11100000001110000101…
…11100101101110010001
310102001201101222120222211
432000320113211232101
5111234230201212400
62014223214032121
7126401331121264
oct16007027455621
93361641876884
10963018382225
11341460853119
12136780aa8641
136ca73665783
1434878aa8cdb
151a0b4c54dba
hexe0385e5b91

963018382225 has 27 divisors (see below), whose sum is σ = 1224234345841. Its totient is φ = 751467089600.

The previous prime is 963018382169. The next prime is 963018382241. The reversal of 963018382225 is 522283810369.

It is a happy number.

The square root of 963018382225 is 981335.

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

It can be written as a sum of positive squares in 4 ways, for example, as 405349962241 + 557668419984 = 636671^2 + 746772^2 .

It is not a de Polignac number, because 963018382225 - 29 = 963018381713 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 26 ways as a sum of consecutive naturals, for example, 201171282 + ... + 201176068.

Almost surely, 2963018382225 is an apocalyptic number.

963018382225 is the 981335-th square number.

963018382225 is the 490668-th centered octagonal number.

It is an amenable number.

963018382225 is a deficient number, since it is larger than the sum of its proper divisors (261215963616).

963018382225 is an frugal number, since it uses more digits than its factorization.

963018382225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9666 (or 4833 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 963018382225 by its sum of digits (49), we get a square (47187900729025 = 68693452).

The spelling of 963018382225 in words is "nine hundred sixty-three billion, eighteen million, three hundred eighty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 41 205 1025 1681 4787 8405 23935 42025 119675 196267 981335 4906675 8046947 22915369 40234735 114576845 201173675 572884225 939530129 4697650645 23488253225 38520735289 192603676445 963018382225