Base | Representation |
---|---|
bin | 1100100100001111… |
… | …01110000000000000 |
3 | 122102011122220010112 |
4 | 12102013232000000 |
5 | 102304043324011 |
6 | 3033240050452 |
7 | 326120000000 |
oct | 62207560000 |
9 | 18364586115 |
10 | 6746464256 |
11 | 29522264a4 |
12 | 1383463a28 |
13 | 8369260ac |
14 | 480000000 |
15 | 29743758b |
hex | 1921ee000 |
6746464256 has 112 divisors (see below), whose sum is σ = 15740786400. Its totient is φ = 2891341824.
The previous prime is 6746464253. The next prime is 6746464279. The reversal of 6746464256 is 6524646476.
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 (112).
Its product of digits (5806080) is a multiple of the sum of its prime divisors (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (6746464253) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 963780605 + ... + 963780611.
Almost surely, 26746464256 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 6746464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7870393200).
6746464256 is an abundant number, since it is smaller than the sum of its proper divisors (8994322144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6746464256 is an frugal number, since it uses more digits than its factorization.
6746464256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 75 (or 9 counting only the distinct ones).
The product of its digits is 5806080, while the sum is 50.
The square root of 6746464256 is about 82136.8629544616. The cubic root of 6746464256 is about 1889.5515351134.
The spelling of 6746464256 in words is "six billion, seven hundred forty-six million, four hundred sixty-four thousand, two hundred fifty-six".
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