Base | Representation |
---|---|
bin | 10110011000001000… |
… | …01011010110000000 |
3 | 1011000020200011221020 |
4 | 23030010023112000 |
5 | 144100434103241 |
6 | 5304032425440 |
7 | 603464521344 |
oct | 131404132600 |
9 | 34006604836 |
10 | 12013581696 |
11 | 5105398816 |
12 | 23b33a8280 |
13 | 1195c0b72c |
14 | 81d755624 |
15 | 4a4a54b66 |
hex | 2cc10b580 |
12013581696 has 128 divisors (see below), whose sum is σ = 32730739200. Its totient is φ = 3902976000.
The previous prime is 12013581691. The next prime is 12013581707. The reversal of 12013581696 is 69618531021.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×120135816962 (a number of 21 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12013581691) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2424021 + ... + 2428971.
It is an arithmetic number, because the mean of its divisors is an integer number (255708900).
Almost surely, 212013581696 is an apocalyptic number.
12013581696 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 12013581696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16365369600).
12013581696 is an abundant number, since it is smaller than the sum of its proper divisors (20717157504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12013581696 is an equidigital number, since it uses as much as digits as its factorization.
12013581696 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5128 (or 5116 counting only the distinct ones).
The product of its (nonzero) digits is 77760, while the sum is 42.
The spelling of 12013581696 in words is "twelve billion, thirteen million, five hundred eighty-one thousand, six hundred ninety-six".
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