Base | Representation |
---|---|
bin | 1111110011001… |
… | …1000110000000 |
3 | 11121200211202110 |
4 | 3330303012000 |
5 | 113431111233 |
6 | 10324215320 |
7 | 1433165511 |
oct | 374630600 |
9 | 147624673 |
10 | 66269568 |
11 | 34453342 |
12 | 1a23a540 |
13 | 10963881 |
14 | 8b30a08 |
15 | 5c40663 |
hex | 3f33180 |
66269568 has 128 divisors (see below), whose sum is σ = 191923200. Its totient is φ = 20183040.
The previous prime is 66269531. The next prime is 66269569. The reversal of 66269568 is 86596266.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (48).
Its product of digits (933120) is a multiple of the sum of its prime factors (360).
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (66269569) 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, 226030 + ... + 226322.
It is an arithmetic number, because the mean of its divisors is an integer number (1499400).
Almost surely, 266269568 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 66269568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95961600).
66269568 is an abundant number, since it is smaller than the sum of its proper divisors (125653632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66269568 is a wasteful number, since it uses less digits than its factorization.
66269568 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 360 (or 348 counting only the distinct ones).
The product of its digits is 933120, while the sum is 48.
The square root of 66269568 is about 8140.6122619862. The cubic root of 66269568 is about 404.6734511494.
The spelling of 66269568 in words is "sixty-six million, two hundred sixty-nine thousand, five hundred sixty-eight".
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