Base | Representation |
---|---|
bin | 110000000000000000000… |
… | …0000000000000000000000 |
3 | 212100200012010122022220120 |
4 | 1200000000000000000000 |
5 | 1331041244330013111 |
6 | 22010352500140240 |
7 | 1250423352535635 |
oct | 140000000000000 |
9 | 25320163568816 |
10 | 6597069766656 |
11 | 211388a9972a6 |
12 | 8a6681397680 |
13 | 38b140bc2305 |
14 | 18b42ac2c18c |
15 | b6911943406 |
hex | 60000000000 |
6597069766656 has 84 divisors (see below), whose sum is σ = 17592186044412. Its totient is φ = 2199023255552.
The previous prime is 6597069766631. The next prime is 6597069766657. The reversal of 6597069766656 is 6566679607956.
It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)38.
It is a super-2 number, since 2×65970697666562 (a number of 26 digits) contains 22 as substring.
It is a nialpdrome in base 2 and base 16.
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (6597069766657) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (2) of ones.
In principle, a polygon with 6597069766656 sides can be constructed with ruler and compass.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2199023255551 + 2199023255552 + 2199023255553.
It is an arithmetic number, because the mean of its divisors is an integer number (209430786243).
Almost surely, 26597069766656 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 6597069766656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8796093022206).
6597069766656 is an abundant number, since it is smaller than the sum of its proper divisors (10995116277756).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6597069766656 is an frugal number, since it uses more digits than its factorization.
6597069766656 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 85 (or 5 counting only the distinct ones).
The product of its (nonzero) digits is 4629441600, while the sum is 78.
The spelling of 6597069766656 in words is "six trillion, five hundred ninety-seven billion, sixty-nine million, seven hundred sixty-six thousand, six hundred fifty-six".
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