Search a number
-
+
5660689121280 = 214355319173
BaseRepresentation
bin101001001011111101101…
…0111010100000000000000
3202001011020011020222100000
41102113323113110000000
51220221042403340110
620012252405200000
71122654103426614
oct122277327240000
922034204228300
105660689121280
111892759487136
127750b5400000
13320a5417c50b
14157d9bc25344
159c3aa5661c0
hex525fb5d4000

5660689121280 has 720 divisors, whose sum is σ = 21008644360704. Its totient is φ = 1460663746560.

The previous prime is 5660689121251. The next prime is 5660689121299. The reversal of 5660689121280 is 821219860665.

5660689121280 is a `hidden beast` number, since 5 + 6 + 606 + 8 + 9 + 1 + 2 + 1 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 617098774 + ... + 617107946.

Almost surely, 25660689121280 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 5660689121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10504322180352).

5660689121280 is an abundant number, since it is smaller than the sum of its proper divisors (15347955239424).

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

5660689121280 is an frugal number, since it uses more digits than its factorization.

5660689121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9252 (or 9214 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 5660689121280 in words is "five trillion, six hundred sixty billion, six hundred eighty-nine million, one hundred twenty-one thousand, two hundred eighty".