Base | Representation |
---|---|
bin | 101010111010100010… |
… | …001111100010110100 |
3 | 11101221100011111012101 |
4 | 222322202033202310 |
5 | 1223332234233300 |
6 | 33100221231444 |
7 | 3220612560034 |
oct | 527242174264 |
9 | 141840144171 |
10 | 46079211700 |
11 | 185a6571845 |
12 | 8b1ba02584 |
13 | 4464693952 |
14 | 2331b198c4 |
15 | 12ea569b6a |
hex | aba88f8b4 |
46079211700 has 54 divisors (see below), whose sum is σ = 102723481266. Its totient is φ = 17928449280.
The previous prime is 46079211697. The next prime is 46079211713. The reversal of 46079211700 is 711297064.
46079211700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 9 ways, for example, as 22869907984 + 23209303716 = 151228^2 + 152346^2 .
It is a Harshad number since it is a multiple of its sum of digits (37).
It is a self number, because there is not a number n which added to its sum of digits gives 46079211700.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13055536 + ... + 13059064.
Almost surely, 246079211700 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 46079211700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51361740633).
46079211700 is an abundant number, since it is smaller than the sum of its proper divisors (56644269566).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46079211700 is an equidigital number, since it uses as much as digits as its factorization.
46079211700 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7109 (or 3573 counting only the distinct ones).
The product of its (nonzero) digits is 21168, while the sum is 37.
Multiplying 46079211700 by its sum of digits (37), we get a square (1704930832900 = 13057302).
46079211700 divided by its sum of digits (37) gives a square (1245384100 = 352902).
The spelling of 46079211700 in words is "forty-six billion, seventy-nine million, two hundred eleven thousand, seven hundred".
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