Base | Representation |
---|---|
bin | 1110010001111010… |
… | …11100000010110000 |
3 | 201210021220101001101 |
4 | 13020331130002300 |
5 | 111200112004034 |
6 | 3304424014144 |
7 | 360661212010 |
oct | 71075340260 |
9 | 21707811041 |
10 | 7666516144 |
11 | 3284604061 |
12 | 159b601354 |
13 | 9524206b1 |
14 | 52a299c40 |
15 | 2ed0c5514 |
hex | 1c8f5c0b0 |
7666516144 has 80 divisors (see below), whose sum is σ = 17429955840. Its totient is φ = 3198723840.
The previous prime is 7666516127. The next prime is 7666516177. The reversal of 7666516144 is 4416156667.
It is a junction number, because it is equal to n+sod(n) for n = 7666516094 and 7666516103.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772687 + ... + 782545.
It is an arithmetic number, because the mean of its divisors is an integer number (217874448).
Almost surely, 27666516144 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 7666516144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8714977920).
7666516144 is an abundant number, since it is smaller than the sum of its proper divisors (9763439696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7666516144 is a wasteful number, since it uses less digits than its factorization.
7666516144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10058 (or 10052 counting only the distinct ones).
The product of its digits is 725760, while the sum is 46.
The square root of 7666516144 is about 87558.6440278743. The cubic root of 7666516144 is about 1971.8143285972.
The spelling of 7666516144 in words is "seven billion, six hundred sixty-six million, five hundred sixteen thousand, one hundred forty-four".
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