Search a number
-
+
5659361280 = 21632519101
BaseRepresentation
bin1010100010101001…
…10000000000000000
3112121102002100012100
411101110300000000
543042244030110
62333323430400
7260146530366
oct52124600000
915542070170
105659361280
11244461a991
12111b385400
136c263c7b1
143b989b636
15231c9cbc0
hex151530000

5659361280 has 408 divisors, whose sum is σ = 20856017520. Its totient is φ = 1415577600.

The previous prime is 5659361249. The next prime is 5659361287. The reversal of 5659361280 is 821639565.

5659361280 is a `hidden beast` number, since 5 + 6 + 5 + 9 + 361 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5659361287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56033230 + ... + 56033330.

It is an arithmetic number, because the mean of its divisors is an integer number (51117690).

Almost surely, 25659361280 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 5659361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10428008760).

5659361280 is an abundant number, since it is smaller than the sum of its proper divisors (15196656240).

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

5659361280 is a wasteful number, since it uses less digits than its factorization.

5659361280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5659361280 is about 75228.7264281405. The cubic root of 5659361280 is about 1782.0606191141.

It can be divided in two parts, 5659361 and 280, that added together give a square (5659641 = 23792).

The spelling of 5659361280 in words is "five billion, six hundred fifty-nine million, three hundred sixty-one thousand, two hundred eighty".