Base | Representation |
---|---|
bin | 11000000100001011… |
… | …10101110001100000 |
3 | 1020100102020100200000 |
4 | 30002011311301200 |
5 | 202430004043141 |
6 | 5534012100000 |
7 | 635112036306 |
oct | 140205656140 |
9 | 36312210600 |
10 | 12919987296 |
11 | 552aaa5757 |
12 | 2606a64600 |
13 | 12ab9388c8 |
14 | 8a7c9c276 |
15 | 5093e95b6 |
hex | 302175c60 |
12919987296 has 108 divisors (see below), whose sum is σ = 38131581852. Its totient is φ = 4303321344.
The previous prime is 12919987261. The next prime is 12919987313. The reversal of 12919987296 is 69278991921.
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 is a tau number, because it is divible by the number of its divisors (108).
It is a congruent number.
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 17 ways as a sum of consecutive naturals, for example, 10022620 + ... + 10023908.
Almost surely, 212919987296 is an apocalyptic number.
12919987296 is a gapful number since it is divisible by the number (16) 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 12919987296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19065790926).
12919987296 is an abundant number, since it is smaller than the sum of its proper divisors (25211594556).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12919987296 is an frugal number, since it uses more digits than its factorization.
12919987296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2603 (or 1294 counting only the distinct ones).
The product of its digits is 8817984, while the sum is 63.
The spelling of 12919987296 in words is "twelve billion, nine hundred nineteen million, nine hundred eighty-seven thousand, two hundred ninety-six".
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