Base | Representation |
---|---|
bin | 10110010111010100… |
… | …01011001010101001 |
3 | 1010222202211212111100 |
4 | 23023222023022221 |
5 | 144042212441400 |
6 | 5303230352013 |
7 | 603352551300 |
oct | 131352131251 |
9 | 33882755440 |
10 | 12006765225 |
11 | 5101562474 |
12 | 23b105b609 |
13 | 1194692c10 |
14 | 81c89d437 |
15 | 4a415a100 |
hex | 2cba8b2a9 |
12006765225 has 108 divisors (see below), whose sum is σ = 26941215756. Its totient is φ = 5066530560.
The previous prime is 12006765203. The next prime is 12006765241. The reversal of 12006765225 is 52256760021.
12006765225 is a `hidden beast` number, since 120 + 0 + 6 + 7 + 6 + 522 + 5 = 666.
12006765225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 1680344064 + 10326421161 = 40992^2 + 101619^2 .
It is not a de Polignac number, because 12006765225 - 210 = 12006764201 is a prime.
It is a super-2 number, since 2×120067652252 (a number of 21 digits) contains 22 as substring.
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 12006765225.
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 107 ways as a sum of consecutive naturals, for example, 101439 + ... + 185211.
Almost surely, 212006765225 is an apocalyptic number.
12006765225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
It is an amenable number.
12006765225 is an abundant number, since it is smaller than the sum of its proper divisors (14934450531).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12006765225 is a wasteful number, since it uses less digits than its factorization.
12006765225 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 83816 (or 83801 counting only the distinct ones).
The product of its (nonzero) digits is 50400, while the sum is 36.
The spelling of 12006765225 in words is "twelve billion, six million, seven hundred sixty-five thousand, two hundred twenty-five".
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