Base | Representation |
---|---|
bin | 10100000101001010111… |
… | …11101110011010010000 |
3 | 2102221221021202220022020 |
4 | 22002211133232122100 |
5 | 42301030124341220 |
6 | 1244545104011440 |
7 | 100564063330500 |
oct | 12024537563220 |
9 | 2387837686266 |
10 | 689971324560 |
11 | 246684909381 |
12 | b187a000b80 |
13 | 500aa84c66b |
14 | 25575439a00 |
15 | 12e33933040 |
hex | a0a57ee690 |
689971324560 has 960 divisors, whose sum is σ = 2726970105600. Its totient is φ = 143321923584.
The previous prime is 689971324499. The next prime is 689971324607. The reversal of 689971324560 is 65423179986.
It is a Harshad number since it is a multiple of its sum of digits (60).
It is a junction number, because it is equal to n+sod(n) for n = 689971324494 and 689971324503.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1509783852 + ... + 1509784308.
It is an arithmetic number, because the mean of its divisors is an integer number (2840593860).
It is a 1-persistent number, because it is pandigital, but 2⋅689971324560 = 1379942649120 is not.
Almost surely, 2689971324560 is an apocalyptic number.
689971324560 is a gapful number since it is divisible by the number (60) 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 689971324560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363485052800).
689971324560 is an abundant number, since it is smaller than the sum of its proper divisors (2036998781040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
689971324560 is a wasteful number, since it uses less digits than its factorization.
689971324560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 768 (or 755 counting only the distinct ones).
The product of its (nonzero) digits is 19595520, while the sum is 60.
The spelling of 689971324560 in words is "six hundred eighty-nine billion, nine hundred seventy-one million, three hundred twenty-four thousand, five hundred sixty".
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