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12144550000 = 24551171311
BaseRepresentation
bin10110100111101111…
…10010000001110000
31011100101010001200011
423103313302001300
5144333001100000
65325031504304
7606644654212
oct132367620160
934311101604
1012144550000
115172311190
12242b228094
1311b70a5b7b
14832cc85b2
154b12c52ba
hex2d3df2070

12144550000 has 240 divisors, whose sum is σ = 32640910848. Its totient is φ = 4340000000.

The previous prime is 12144549943. The next prime is 12144550013. The reversal of 12144550000 is 5544121.

12144550000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 47 ways as a sum of consecutive naturals, for example, 39049845 + ... + 39050155.

Almost surely, 212144550000 is an apocalyptic number.

12144550000 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 12144550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16320455424).

12144550000 is an abundant number, since it is smaller than the sum of its proper divisors (20496360848).

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

12144550000 is an equidigital number, since it uses as much as digits as its factorization.

12144550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The spelling of 12144550000 in words is "twelve billion, one hundred forty-four million, five hundred fifty thousand".