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12443044152 = 23371129792939
BaseRepresentation
bin10111001011010100…
…11100100100111000
31012010011210010200010
423211222130210320
5200440404403102
65414413341520
7620231062440
oct134552344470
935104703603
1012443044152
115305857270
1224b31978a0
131233b97426
148607c9120
154cc5d7d6c
hex2e5a9c938

12443044152 has 256 divisors, whose sum is σ = 40642560000. Its totient is φ = 3079964160.

The previous prime is 12443044147. The next prime is 12443044169. The reversal of 12443044152 is 25144034421.

12443044152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 4232299 + ... + 4235237.

It is an arithmetic number, because the mean of its divisors is an integer number (158760000).

Almost surely, 212443044152 is an apocalyptic number.

12443044152 is a gapful number since it is divisible by the number (12) 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 12443044152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280000).

12443044152 is an abundant number, since it is smaller than the sum of its proper divisors (28199515848).

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

12443044152 is a wasteful number, since it uses less digits than its factorization.

12443044152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 12443044152 its reverse (25144034421), we get a palindrome (37587078573).

The spelling of 12443044152 in words is "twelve billion, four hundred forty-three million, forty-four thousand, one hundred fifty-two".