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483560298225 = 38521721012
BaseRepresentation
bin1110000100101100111…
…00001001011011110001
31201020011011000100000000
413002112130021123301
530410312414020400
61010051115220213
746636034500554
oct7022634113361
91636134010000
10483560298225
11177093200204
1279873447669
13367a42623a4
1419593b1469b
15c8a2735600
hex70967096f1

483560298225 has 243 divisors, whose sum is σ = 964945979491. Its totient is φ = 240325056000.

The previous prime is 483560298197. The next prime is 483560298241. The reversal of 483560298225 is 522892065384.

The square root of 483560298225 is 695385.

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

483560298225 is a `hidden beast` number, since 4 + 8 + 3 + 5 + 602 + 9 + 8 + 2 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1013339889 + 482546958336 = 31833^2 + 694656^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 483560298225 - 215 = 483560265457 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon 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 242 ways as a sum of consecutive naturals, for example, 4787725675 + ... + 4787725775.

Almost surely, 2483560298225 is an apocalyptic number.

483560298225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

483560298225 is the 695385-th square number.

483560298225 is the 347693-rd centered octagonal number.

It is an amenable number.

483560298225 is a deficient number, since it is larger than the sum of its proper divisors (481385681266).

483560298225 is an frugal number, since it uses more digits than its factorization.

483560298225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 483560298225 in words is "four hundred eighty-three billion, five hundred sixty million, two hundred ninety-eight thousand, two hundred twenty-five".