Search a number
-
+
685808743680 = 28335712771009
BaseRepresentation
bin10011111101011010110…
…00101111010100000000
32102120012012010212211000
421332231120233110000
542214014014244210
61243020045252000
7100355660065254
oct11765530572400
92376165125730
10685808743680
1124493917a795
12b0ab7b64000
134c896345858
142529c684264
1512c8d295ac0
hex9fad62f500

685808743680 has 576 divisors, whose sum is σ = 2479309862400. Its totient is φ = 179477544960.

The previous prime is 685808743673. The next prime is 685808743717. The reversal of 685808743680 is 86347808586.

685808743680 is a `hidden beast` number, since 6 + 8 + 580 + 8 + 7 + 43 + 6 + 8 + 0 = 666.

685808743680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 679691016 + ... + 679692024.

It is an arithmetic number, because the mean of its divisors is an integer number (4304357400).

Almost surely, 2685808743680 is an apocalyptic number.

685808743680 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 685808743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239654931200).

685808743680 is an abundant number, since it is smaller than the sum of its proper divisors (1793501118720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

685808743680 is a wasteful number, since it uses less digits than its factorization.

685808743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 685808743680 in words is "six hundred eighty-five billion, eight hundred eight million, seven hundred forty-three thousand, six hundred eighty".