Base | Representation |
---|---|
bin | 1111111110101101101… |
… | …10111111110100000000 |
3 | 1221111020022202211112100 |
4 | 13333112312333310000 |
5 | 32443441242303333 |
6 | 1100123125030400 |
7 | 54445233330642 |
oct | 7772666776400 |
9 | 1844208684470 |
10 | 549065587968 |
11 | 1a19482349a7 |
12 | 8a4b4b55400 |
13 | 3ca13435b71 |
14 | 1c8097da892 |
15 | e438450213 |
hex | 7fd6dbfd00 |
549065587968 has 108 divisors (see below), whose sum is σ = 1589661901828. Its totient is φ = 182262251520.
The previous prime is 549065587957. The next prime is 549065587981. The reversal of 549065587968 is 869785560945.
549065587968 is a `hidden beast` number, since 5 + 4 + 9 + 0 + 6 + 558 + 7 + 9 + 68 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 469433263104 + 79632324864 = 685152^2 + 282192^2 .
It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 549065587896 and 549065587905.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60846 + ... + 1049682.
Almost surely, 2549065587968 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 549065587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794830950914).
549065587968 is an abundant number, since it is smaller than the sum of its proper divisors (1040596313860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
549065587968 is a wasteful number, since it uses less digits than its factorization.
549065587968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 989100 (or 989083 counting only the distinct ones).
The product of its (nonzero) digits is 653184000, while the sum is 72.
The spelling of 549065587968 in words is "five hundred forty-nine billion, sixty-five million, five hundred eighty-seven thousand, nine hundred sixty-eight".
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