Base | Representation |
---|---|
bin | 1111011100100010… |
… | …1000100010101110 |
3 | 101200221212120221020 |
4 | 3313020220202232 |
5 | 31442414014231 |
6 | 1523232115010 |
7 | 204514264224 |
oct | 36710504256 |
9 | 11627776836 |
10 | 4146235566 |
11 | 1838495170 |
12 | 978695a66 |
13 | 511003035 |
14 | 2b493cb14 |
15 | 19400e396 |
hex | f72288ae |
4146235566 has 48 divisors (see below), whose sum is σ = 9243227520. Its totient is φ = 1229659120.
The previous prime is 4146235559. The next prime is 4146235601. The reversal of 4146235566 is 6655326414.
4146235566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131575 + ... + 160013.
It is an arithmetic number, because the mean of its divisors is an integer number (192567240).
Almost surely, 24146235566 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4146235566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621613760).
4146235566 is an abundant number, since it is smaller than the sum of its proper divisors (5096991954).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4146235566 is a wasteful number, since it uses less digits than its factorization.
4146235566 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 28549 (or 28502 counting only the distinct ones).
The product of its digits is 518400, while the sum is 42.
The square root of 4146235566 is about 64391.2693305544. The cubic root of 4146235566 is about 1606.5145288949.
It can be divided in two parts, 41462 and 35566, that added together give a triangular number (77028 = T392).
The spelling of 4146235566 in words is "four billion, one hundred forty-six million, two hundred thirty-five thousand, five hundred sixty-six".
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