Base | Representation |
---|---|
bin | 10100000010110100101… |
… | …10111100001000001000 |
3 | 2102211200102202002000000 |
4 | 22001122112330020020 |
5 | 42240434421331443 |
6 | 1244220033043000 |
7 | 100520615421432 |
oct | 12013226741010 |
9 | 2384612662000 |
10 | 688710730248 |
11 | 2460982861a2 |
12 | b15879b6460 |
13 | 4cc39630878 |
14 | 25495c55652 |
15 | 12dace288d3 |
hex | a05a5bc208 |
688710730248 has 84 divisors (see below), whose sum is σ = 1936291422015. Its totient is φ = 229549117968.
The previous prime is 688710730243. The next prime is 688710730261. The reversal of 688710730248 is 842037017886.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in only one way, i.e., 344355365124 + 344355365124 = 586818^2 + 586818^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=586818.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 688710730194 and 688710730203.
It is not an unprimeable number, because it can be changed into a prime (688710730243) by changing a digit.
It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 63370911 + ... + 63381777.
Almost surely, 2688710730248 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 688710730248
688710730248 is an abundant number, since it is smaller than the sum of its proper divisors (1247580691767).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
688710730248 is an frugal number, since it uses more digits than its factorization.
688710730248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21758 (or 10872 counting only the distinct ones).
The product of its (nonzero) digits is 3612672, while the sum is 54.
The spelling of 688710730248 in words is "six hundred eighty-eight billion, seven hundred ten million, seven hundred thirty thousand, two hundred forty-eight".
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