Base | Representation |
---|---|
bin | 1111000000000000… |
… | …00000000000000000 |
3 | 202210020021000120210 |
4 | 13200000000000000 |
5 | 112443041014210 |
6 | 3411033034120 |
7 | 403363624524 |
oct | 74000000000 |
9 | 22706230523 |
10 | 8053063680 |
11 | 3462820a32 |
12 | 1688b55940 |
13 | 9b4531b4c |
14 | 56575bd84 |
15 | 321ecce20 |
hex | 1e0000000 |
8053063680 has 120 divisors (see below), whose sum is σ = 25769803752. Its totient is φ = 2147483648.
The previous prime is 8053063661. The next prime is 8053063699. The reversal of 8053063680 is 863603508.
It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)26.
It is an interprime number because it is at equal distance from previous prime (8053063661) and next prime (8053063699).
It is a tau number, because it is divible by the number of its divisors (120).
It is a nialpdrome in base 2 and base 8.
It is a zygodrome in base 2.
It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2560 × 1536 × 2048.
It is a congruent number.
It is an unprimeable number.
In principle, a polygon with 8053063680 sides can be constructed with ruler and compass.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1610612734 + ... + 1610612738.
Almost surely, 28053063680 is an apocalyptic number.
8053063680 is a gapful number since it is divisible by the number (80) 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 8053063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12884901876).
8053063680 is an abundant number, since it is smaller than the sum of its proper divisors (17716740072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8053063680 is an frugal number, since it uses more digits than its factorization.
8053063680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 66 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 103680, while the sum is 39.
The square root of 8053063680 is about 89738.8638216464. The cubic root of 8053063680 is about 2004.4122322785.
The spelling of 8053063680 in words is "eight billion, fifty-three million, sixty-three thousand, six hundred eighty".
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