Search a number
-
+
12303005456 = 247215692609
BaseRepresentation
bin10110111010101000…
…01111011100010000
31011202102021102200202
423131110033130100
5200144032133311
65352452034332
7613610551400
oct133524173420
934672242622
1012303005456
1152437a9105
1224743029a8
131210b755b1
14849d74800
154c0174e3b
hex2dd50f710

12303005456 has 30 divisors (see below), whose sum is σ = 27728841870. Its totient is φ = 5272716288.

The previous prime is 12303005389. The next prime is 12303005459. The reversal of 12303005456 is 65450030321.

12303005456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11083878400 + 1219127056 = 105280^2 + 34916^2 .

It is not an unprimeable number, because it can be changed into a prime (12303005459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7845521 + ... + 7847088.

It is an arithmetic number, because the mean of its divisors is an integer number (924294729).

Almost surely, 212303005456 is an apocalyptic number.

12303005456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12303005456 is an abundant number, since it is smaller than the sum of its proper divisors (15425836414).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12303005456 is a wasteful number, since it uses less digits than its factorization.

12303005456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15692631 (or 15692618 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 12303005456 its reverse (65450030321), we get a palindrome (77753035777).

The spelling of 12303005456 in words is "twelve billion, three hundred three million, five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 15692609 31385218 62770436 109848263 125540872 219696526 251081744 439393052 768937841 878786104 1537875682 1757572208 3075751364 6151502728 12303005456