Base | Representation |
---|---|
bin | 111111100111… |
… | …111100000000 |
3 | 1011101100211000 |
4 | 333213330000 |
5 | 13232204111 |
6 | 1353252000 |
7 | 261523551 |
oct | 77477400 |
9 | 34340730 |
10 | 16678656 |
11 | 9461a15 |
12 | 5704000 |
13 | 35bc737 |
14 | 2302328 |
15 | 16e6c56 |
hex | fe7f00 |
16678656 has 144 divisors (see below), whose sum is σ = 52326400. Its totient is φ = 5225472.
The previous prime is 16678639. The next prime is 16678661. The reversal of 16678656 is 65687661.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a zygodrome in base 2.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131265 + ... + 131391.
Almost surely, 216678656 is an apocalyptic number.
16678656 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 16678656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26163200).
16678656 is an abundant number, since it is smaller than the sum of its proper divisors (35647744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16678656 is a wasteful number, since it uses less digits than its factorization.
16678656 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 171 (or 151 counting only the distinct ones).
The product of its digits is 362880, while the sum is 45.
The square root of 16678656 is about 4083.9510281099. The cubic root of 16678656 is about 255.4977130449.
The spelling of 16678656 in words is "sixteen million, six hundred seventy-eight thousand, six hundred fifty-six".
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