Base | Representation |
---|---|
bin | 10110011111010101… |
… | …00100110110010110 |
3 | 1011011110022200212000 |
4 | 23033222210312112 |
5 | 144211414314121 |
6 | 5314031140130 |
7 | 605130062535 |
oct | 131752446626 |
9 | 34143280760 |
10 | 12073979286 |
11 | 51364a0386 |
12 | 240b674646 |
13 | 11a5597655 |
14 | 82779831c |
15 | 4a9ed5526 |
hex | 2cfaa4d96 |
12073979286 has 72 divisors (see below), whose sum is σ = 28353578040. Its totient is φ = 3807990792.
The previous prime is 12073979279. The next prime is 12073979287. The reversal of 12073979286 is 68297937021.
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 (12073979287) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15341385 + ... + 15342171.
It is an arithmetic number, because the mean of its divisors is an integer number (393799695).
Almost surely, 212073979286 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12073979286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14176789020).
12073979286 is an abundant number, since it is smaller than the sum of its proper divisors (16279598754).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12073979286 is an frugal number, since it uses more digits than its factorization.
12073979286 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1623 (or 811 counting only the distinct ones).
The product of its (nonzero) digits is 2286144, while the sum is 54.
Multiplying 12073979286 by its sum of digits (54), we get a square (651994881444 = 8074622).
12073979286 divided by its sum of digits (54) gives a square (223592209 = 149532).
The spelling of 12073979286 in words is "twelve billion, seventy-three million, nine hundred seventy-nine thousand, two hundred eighty-six".
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