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12444452416 = 261117676779
BaseRepresentation
bin10111001011011111…
…10100011001000000
31012010021102200110001
423211233310121000
5200441234434131
65414503445344
7620246046244
oct134557643100
935107380401
1012444452416
115306629320
1224b3756854
13123426b416
14860a74424
154cc7b5261
hex2e5bf4640

12444452416 has 28 divisors (see below), whose sum is σ = 26939412720. Its totient is φ = 5656568960.

The previous prime is 12444452413. The next prime is 12444452441. The reversal of 12444452416 is 61425444421.

12444452416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12444452413) 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 3 ways as a sum of consecutive naturals, for example, 8837686 + ... + 8839093.

Almost surely, 212444452416 is an apocalyptic number.

12444452416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12444452416 is an abundant number, since it is smaller than the sum of its proper divisors (14494960304).

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

12444452416 is a wasteful number, since it uses less digits than its factorization.

12444452416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17676802 (or 17676792 counting only the distinct ones).

The product of its digits is 122880, while the sum is 37.

Adding to 12444452416 its reverse (61425444421), we get a palindrome (73869896837).

The spelling of 12444452416 in words is "twelve billion, four hundred forty-four million, four hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 17676779 35353558 70707116 141414232 194444569 282828464 388889138 565656928 777778276 1131313856 1555556552 3111113104 6222226208 12444452416