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12055443840 = 2731051129
BaseRepresentation
bin10110011101000111…
…10111100110000000
31011010011110000000000
423032203313212000
5144142143200330
65312130000000
7604513403406
oct131643674600
934104400000
1012055443840
115126a90430
122405416000
1311a17a7a2b
14825131476
154a8573560
hex2ce8f7980

12055443840 has 704 divisors, whose sum is σ = 48786008400. Its totient is φ = 2821754880.

The previous prime is 12055443833. The next prime is 12055443877. The reversal of 12055443840 is 4834455021.

It is a happy number.

12055443840 is a `hidden beast` number, since 1 + 20 + 554 + 4 + 3 + 84 + 0 = 666.

12055443840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (704).

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 = 12055443795 and 12055443804.

It is a congruent number.

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 87 ways as a sum of consecutive naturals, for example, 415704946 + ... + 415704974.

Almost surely, 212055443840 is an apocalyptic number.

12055443840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12055443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24393004200).

12055443840 is an abundant number, since it is smaller than the sum of its proper divisors (36730564560).

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

12055443840 is an frugal number, since it uses more digits than its factorization.

12055443840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 12055443840 its reverse (4834455021), we get a palindrome (16889898861).

The spelling of 12055443840 in words is "twelve billion, fifty-five million, four hundred forty-three thousand, eight hundred forty".