Base | Representation |
---|---|
bin | 10110110010100101… |
… | …01011000010000000 |
3 | 1011120201020001110200 |
4 | 23121102223002000 |
5 | 200024241012222 |
6 | 5342040525200 |
7 | 612130623561 |
oct | 133122530200 |
9 | 34521201420 |
10 | 12235485312 |
11 | 5209681236 |
12 | 2455780800 |
13 | 11ccb9474b |
14 | 840dda168 |
15 | 4b9288eac |
hex | 2d94ab080 |
12235485312 has 72 divisors (see below), whose sum is σ = 35219690415. Its totient is φ = 4077243648.
The previous prime is 12235485221. The next prime is 12235485337. The reversal of 12235485312 is 21358453221.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in only one way, i.e., 6117742656 + 6117742656 = 78216^2 + 78216^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=78216.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3752739 + ... + 3755997.
Almost surely, 212235485312 is an apocalyptic number.
12235485312 is a gapful number since it is divisible by the number (12) 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 12235485312
12235485312 is an abundant number, since it is smaller than the sum of its proper divisors (22984205103).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12235485312 is an frugal number, since it uses more digits than its factorization.
12235485312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6538 (or 3264 counting only the distinct ones).
The product of its digits is 57600, while the sum is 36.
The spelling of 12235485312 in words is "twelve billion, two hundred thirty-five million, four hundred eighty-five thousand, three hundred twelve".
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