Search a number
-
+
12444532050 = 235299183717
BaseRepresentation
bin10111001011100000…
…00111110101010010
31012010021120201200110
423211300013311102
5200441300011200
65414505302150
7620246530356
oct134560076522
935107521613
1012444532050
115306683135
1224b3794956
131234298742
14860a95466
154cc7cdb50
hex2e5c07d52

12444532050 has 48 divisors (see below), whose sum is σ = 30893951232. Its totient is φ = 3315153600.

The previous prime is 12444532039. The next prime is 12444532073. The reversal of 12444532050 is 5023544421.

12444532050 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 12444531999 and 12444532017.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 106792 + ... + 190508.

It is an arithmetic number, because the mean of its divisors is an integer number (643623984).

Almost surely, 212444532050 is an apocalyptic number.

12444532050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12444532050 is an abundant number, since it is smaller than the sum of its proper divisors (18449419182).

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

12444532050 is a wasteful number, since it uses less digits than its factorization.

12444532050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84723 (or 84718 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 12444532050 in words is "twelve billion, four hundred forty-four million, five hundred thirty-two thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 991 1982 2973 4955 5946 9910 14865 24775 29730 49550 74325 83717 148650 167434 251151 418585 502302 837170 1255755 2092925 2511510 4185850 6278775 12557550 82963547 165927094 248890641 414817735 497781282 829635470 1244453205 2074088675 2488906410 4148177350 6222266025 12444532050