Base | Representation |
---|---|
bin | 10111001000111010… |
… | …00111010110110000 |
3 | 1012001202122012201000 |
4 | 23210131013112300 |
5 | 200420212202034 |
6 | 5412411042000 |
7 | 616563551406 |
oct | 134435072660 |
9 | 35052565630 |
10 | 12422772144 |
11 | 52a5370642 |
12 | 24a8440300 |
13 | 122c91a263 |
14 | 85bc2d476 |
15 | 4ca931599 |
hex | 2e47475b0 |
12422772144 has 160 divisors (see below), whose sum is σ = 37579737600. Its totient is φ = 3921350400.
The previous prime is 12422772143. The next prime is 12422772161. The reversal of 12422772144 is 44127722421.
12422772144 is a `hidden beast` number, since 1 + 242 + 277 + 2 + 144 = 666.
12422772144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 12422772099 and 12422772108.
It is not an unprimeable number, because it can be changed into a prime (12422772143) 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 31 ways as a sum of consecutive naturals, for example, 997347 + ... + 1009725.
It is an arithmetic number, because the mean of its divisors is an integer number (234873360).
Almost surely, 212422772144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12422772144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18789868800).
12422772144 is an abundant number, since it is smaller than the sum of its proper divisors (25156965456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12422772144 is a wasteful number, since it uses less digits than its factorization.
12422772144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12520 (or 12508 counting only the distinct ones).
The product of its digits is 50176, while the sum is 36.
It can be divided in two parts, 1242277 and 2144, that added together give a palindrome (1244421).
The spelling of 12422772144 in words is "twelve billion, four hundred twenty-two million, seven hundred seventy-two thousand, one hundred forty-four".
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