Base | Representation |
---|---|
bin | 1111111010101… |
… | …0011011011100 |
3 | 11122121200021000 |
4 | 3332222123130 |
5 | 114042231424 |
6 | 10342510300 |
7 | 1440302541 |
oct | 376523334 |
9 | 148550230 |
10 | 66758364 |
11 | 34757602 |
12 | 1a435390 |
13 | 10aa51ba |
14 | 8c1abc8 |
15 | 5cda3c9 |
hex | 3faa6dc |
66758364 has 48 divisors (see below), whose sum is σ = 174361600. Its totient is φ = 22087728.
The previous prime is 66758359. The next prime is 66758369. The reversal of 66758364 is 46385766.
66758364 is a `hidden beast` number, since 6 + 6 + 7 + 583 + 64 = 666.
It is an interprime number because it is at equal distance from previous prime (66758359) and next prime (66758369).
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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (66758369) 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 15 ways as a sum of consecutive naturals, for example, 12789 + ... + 17235.
Almost surely, 266758364 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 66758364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87180800).
66758364 is an abundant number, since it is smaller than the sum of its proper divisors (107603236).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66758364 is a wasteful number, since it uses less digits than its factorization.
66758364 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4599 (or 4591 counting only the distinct ones).
The product of its digits is 725760, while the sum is 45.
The square root of 66758364 is about 8170.5791716377. The cubic root of 66758364 is about 405.6659551019.
The spelling of 66758364 in words is "sixty-six million, seven hundred fifty-eight thousand, three hundred sixty-four".
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