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12018793824 = 2533171943067
BaseRepresentation
bin10110011000110000…
…00011110101100000
31011000121110222122000
423030120003311200
5144103302400244
65304340244000
7603560030142
oct131430036540
934017428560
1012018793824
115108328764
1223b50a0600
131197014c2b
14820310c92
154a5234169
hex2cc603d60

12018793824 has 192 divisors, whose sum is σ = 39071289600. Its totient is φ = 3572066304.

The previous prime is 12018793823. The next prime is 12018793847. The reversal of 12018793824 is 42839781021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12018793824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12018793823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257539 + ... + 300605.

It is an arithmetic number, because the mean of its divisors is an integer number (203496300).

Almost surely, 212018793824 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 12018793824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19535644800).

12018793824 is an abundant number, since it is smaller than the sum of its proper divisors (27052495776).

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

12018793824 is a wasteful number, since it uses less digits than its factorization.

12018793824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43122 (or 43108 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12018793824 in words is "twelve billion, eighteen million, seven hundred ninety-three thousand, eight hundred twenty-four".