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12384245180 = 22531191104579
BaseRepresentation
bin10111000100010100…
…01001010110111100
31011222002010211122102
423202022021112330
5200330331321210
65404513204232
7615615230036
oct134212112674
934862124572
1012384245180
11528564677a
122497560678
13122494b038
14856a80c56
154c7370ea5
hex2e22895bc

12384245180 has 48 divisors (see below), whose sum is σ = 26986659840. Its totient is φ = 4768756800.

The previous prime is 12384245179. The next prime is 12384245183. The reversal of 12384245180 is 8154248321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12384245183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66131 + ... + 170709.

It is an arithmetic number, because the mean of its divisors is an integer number (562222080).

Almost surely, 212384245180 is an apocalyptic number.

12384245180 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 12384245180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13493329920).

12384245180 is an abundant number, since it is smaller than the sum of its proper divisors (14602414660).

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

12384245180 is a wasteful number, since it uses less digits than its factorization.

12384245180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104810 (or 104808 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The spelling of 12384245180 in words is "twelve billion, three hundred eighty-four million, two hundred forty-five thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 124 155 191 310 382 620 764 955 1910 3820 5921 11842 23684 29605 59210 104579 118420 209158 418316 522895 1045790 2091580 3241949 6483898 12967796 16209745 19974589 32419490 39949178 64838980 79898356 99872945 199745890 399491780 619212259 1238424518 2476849036 3096061295 6192122590 12384245180