Base | Representation |
---|---|
bin | 10111001110000100… |
… | …00110000000100000 |
3 | 1012011210000110010200 |
4 | 23213002012000200 |
5 | 201012300123014 |
6 | 5420554025200 |
7 | 620630265516 |
oct | 134702060040 |
9 | 35153013120 |
10 | 12466020384 |
11 | 531781a694 |
12 | 24baa18200 |
13 | 123888042c |
14 | 86388a4b6 |
15 | 4ce625a09 |
hex | 2e7086020 |
12466020384 has 144 divisors (see below), whose sum is σ = 37389250080. Its totient is φ = 3928919040.
The previous prime is 12466020377. The next prime is 12466020409. The reversal of 12466020384 is 48302066421.
12466020384 is a `hidden beast` number, since 1 + 2 + 46 + 602 + 0 + 3 + 8 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
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 (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3210124 + ... + 3214004.
It is an arithmetic number, because the mean of its divisors is an integer number (259647570).
Almost surely, 212466020384 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12466020384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18694625040).
12466020384 is an abundant number, since it is smaller than the sum of its proper divisors (24923229696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12466020384 is a wasteful number, since it uses less digits than its factorization.
12466020384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4503 (or 4492 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
The spelling of 12466020384 in words is "twelve billion, four hundred sixty-six million, twenty thousand, three hundred eighty-four".
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