| Base | Representation |
|---|---|
| bin | 11011010110111000… |
| … | …01111010100010000 |
| 3 | 1101220121001121200200 |
| 4 | 31223130033110100 |
| 5 | 220034442414033 |
| 6 | 10425231215200 |
| 7 | 1026653256552 |
| oct | 155334172420 |
| 9 | 41817047620 |
| 10 | 14687466768 |
| 11 | 6257768197 |
| 12 | 2a1a977500 |
| 13 | 1500b80650 |
| 14 | 9d490b4d2 |
| 15 | 5ae67c013 |
| hex | 36b70f510 |
14687466768 has 120 divisors (see below), whose sum is σ = 44395205400. Its totient is φ = 4506071040.
The previous prime is 14687466749. The next prime is 14687466769. The reversal of 14687466768 is 86766478641.
14687466768 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 4 ways, for example, as 9659664 + 14677807104 = 3108^2 + 121152^2 .
It is a super-2 number, since 2×146874667682 (a number of 21 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (14687466769) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 642088 + ... + 664568.
It is an arithmetic number, because the mean of its divisors is an integer number (369960045).
Almost surely, 214687466768 is an apocalyptic number.
14687466768 is a gapful number since it is divisible by the number (18) 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 14687466768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22197602700).
14687466768 is an abundant number, since it is smaller than the sum of its proper divisors (29707738632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14687466768 is a wasteful number, since it uses less digits than its factorization.
14687466768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22857 (or 22848 counting only the distinct ones).
The product of its digits is 65028096, while the sum is 63.
The spelling of 14687466768 in words is "fourteen billion, six hundred eighty-seven million, four hundred sixty-six thousand, seven hundred sixty-eight".
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