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12073809888 = 2533723294173
BaseRepresentation
bin10110011111010011…
…11011011111100000
31011011110000002111000
423033221323133200
5144211343404023
65314023352000
7605125455630
oct131751733740
934143002430
1012073809888
115136395088
12240b5b2600
1311a553850a
148277526c0
154a9ea0243
hex2cfa7b7e0

12073809888 has 768 divisors, whose sum is σ = 45113241600. Its totient is φ = 3065610240.

The previous prime is 12073809871. The next prime is 12073809889. The reversal of 12073809888 is 88890837021.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12073809889) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165394620 + ... + 165394692.

It is an arithmetic number, because the mean of its divisors is an integer number (58741200).

Almost surely, 212073809888 is an apocalyptic number.

12073809888 is a gapful number since it is divisible by the number (18) 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 12073809888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22556620800).

12073809888 is an abundant number, since it is smaller than the sum of its proper divisors (33039431712).

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

12073809888 is a wasteful number, since it uses less digits than its factorization.

12073809888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 12073809888 in words is "twelve billion, seventy-three million, eight hundred nine thousand, eight hundred eighty-eight".