Base | Representation |
---|---|
bin | 1000101011101011… |
… | …00110001010000000 |
3 | 110000212010112200000 |
4 | 10111311212022000 |
5 | 34021300320002 |
6 | 2050312400000 |
7 | 223340503620 |
oct | 42565461200 |
9 | 13025115600 |
10 | 4661338752 |
11 | 1a82227884 |
12 | aa10a6000 |
13 | 593945715 |
14 | 323106880 |
15 | 1c435c61c |
hex | 115d66280 |
4661338752 has 384 divisors, whose sum is σ = 16158105600. Its totient is φ = 1310100480.
The previous prime is 4661338733. The next prime is 4661338757. The reversal of 4661338752 is 2578331664.
4661338752 is a `hidden beast` number, since 466 + 133 + 8 + 7 + 52 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a junction number, because it is equal to n+sod(n) for n = 4661338698 and 4661338707.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4661338757) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17200377 + ... + 17200647.
It is an arithmetic number, because the mean of its divisors is an integer number (42078400).
Almost surely, 24661338752 is an apocalyptic number.
4661338752 is a gapful number since it is divisible by the number (42) 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 4661338752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8079052800).
4661338752 is an abundant number, since it is smaller than the sum of its proper divisors (11496766848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4661338752 is an equidigital number, since it uses as much as digits as its factorization.
4661338752 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 386 (or 362 counting only the distinct ones).
The product of its digits is 725760, while the sum is 45.
The square root of 4661338752 is about 68273.9976272080. The cubic root of 4661338752 is about 1670.4631070094.
The spelling of 4661338752 in words is "four billion, six hundred sixty-one million, three hundred thirty-eight thousand, seven hundred fifty-two".
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