Base | Representation |
---|---|
bin | 10000010001011001100… |
… | …10011010100100000000 |
3 | 1222110010102221121001201 |
4 | 20020230302122210000 |
5 | 33130012333140414 |
6 | 1104502400310544 |
7 | 55251643315264 |
oct | 10105462324400 |
9 | 1873112847051 |
10 | 559097161984 |
11 | 1a6125854a39 |
12 | 90434612454 |
13 | 4095182988a |
14 | 1d0bbc1c0a4 |
15 | e823e98574 |
hex | 822cc9a900 |
559097161984 has 81 divisors (see below), whose sum is σ = 1185951057627. Its totient is φ = 263008837632.
The previous prime is 559097161969. The next prime is 559097161993. The reversal of 559097161984 is 489161790955.
The square root of 559097161984 is 747728.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 10502150400 + 548595011584 = 102480^2 + 740672^2 .
It is a Harshad number since it is a multiple of its sum of digits (64).
It is a Duffinian number.
It is an unprimeable number.
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 8 ways as a sum of consecutive naturals, for example, 203380642 + ... + 203383390.
Almost surely, 2559097161984 is an apocalyptic number.
559097161984 is the 747728-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 559097161984
559097161984 is an abundant number, since it is smaller than the sum of its proper divisors (626853895643).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
559097161984 is an frugal number, since it uses more digits than its factorization.
559097161984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5548 (or 2768 counting only the distinct ones).
The product of its (nonzero) digits is 24494400, while the sum is 64.
Multiplying 559097161984 by its sum of digits (64), we get a square (35782218366976 = 59818242).
559097161984 divided by its sum of digits (64) gives a square (8735893156 = 934662).
The spelling of 559097161984 in words is "five hundred fifty-nine billion, ninety-seven million, one hundred sixty-one thousand, nine hundred eighty-four".
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