Base | Representation |
---|---|
bin | 10110101100010111… |
… | …11001101000110000 |
3 | 1011110002011202100000 |
4 | 23112023321220300 |
5 | 144422421102410 |
6 | 5332540030000 |
7 | 610626002610 |
oct | 132613715060 |
9 | 34402152300 |
10 | 12183378480 |
11 | 5192221639 |
12 | 2440232300 |
13 | 11c214c3c0 |
14 | 838114a40 |
15 | 4b48e4dc0 |
hex | 2d62f9a30 |
12183378480 has 960 divisors, whose sum is σ = 53504575488. Its totient is φ = 2508226560.
The previous prime is 12183378451. The next prime is 12183378511. The reversal of 12183378480 is 8487338121.
12183378480 is a `hidden beast` number, since 1 + 21 + 83 + 3 + 78 + 480 = 666.
12183378480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×121833784802 (a number of 21 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (45) 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 (45).
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 191 ways as a sum of consecutive naturals, for example, 125601792 + ... + 125601888.
Almost surely, 212183378480 is an apocalyptic number.
12183378480 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 12183378480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26752287744).
12183378480 is an abundant number, since it is smaller than the sum of its proper divisors (41321197008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12183378480 is a wasteful number, since it uses less digits than its factorization.
12183378480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 216 (or 198 counting only the distinct ones).
The product of its (nonzero) digits is 258048, while the sum is 45.
The spelling of 12183378480 in words is "twelve billion, one hundred eighty-three million, three hundred seventy-eight thousand, four hundred eighty".
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