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482378866225 = 5217281712
BaseRepresentation
bin1110000010100000000…
…01010101111000110001
31201010002210221100222021
413001100001111320301
530400402442204400
61005333553111441
746564540465444
oct7012001257061
91633083840867
10482378866225
11176637326923
12795a3858581
133664656c5b9
14194c0c5965b
15c833b6671a
hex7050055e31

482378866225 has 27 divisors (see below), whose sum is σ = 635482571521. Its totient is φ = 363158460800.

The previous prime is 482378866223. The next prime is 482378866273. The reversal of 482378866225 is 522668873284.

The square root of 482378866225 is 694535.

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 11283325729 + 471095540496 = 106223^2 + 686364^2 .

It is not a de Polignac number, because 482378866225 - 21 = 482378866223 is a prime.

It is a super-3 number, since 3×4823788662253 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (482378866223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59031390 + ... + 59039560.

Almost surely, 2482378866225 is an apocalyptic number.

482378866225 is the 694535-th square number.

482378866225 is the 347268-th centered octagonal number.

It is an amenable number.

482378866225 is a deficient number, since it is larger than the sum of its proper divisors (153103705296).

482378866225 is an frugal number, since it uses more digits than its factorization.

482378866225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16386 (or 8193 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 61.

The spelling of 482378866225 in words is "four hundred eighty-two billion, three hundred seventy-eight million, eight hundred sixty-six thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 7225 8171 40855 138907 204275 694535 2361419 3472675 11807095 59035475 66765241 333826205 1135009097 1669131025 5675045485 19295154649 28375227425 96475773245 482378866225