Search a number
-
+
5506621344 = 2532719233617
BaseRepresentation
bin1010010000011100…
…00101111110100000
3112012202200100101200
411020032011332200
542234143340334
62310230001200
7253313336430
oct51016057640
915182610350
105506621344
112376387134
1210981a6200
13699ac1733
143a349c2c0
1522367b799
hex148385fa0

5506621344 has 288 divisors, whose sum is σ = 18949956480. Its totient is φ = 1481711616.

The previous prime is 5506621331. The next prime is 5506621361. The reversal of 5506621344 is 4431266055.

5506621344 is a `hidden beast` number, since 550 + 6 + 62 + 1 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5506621299 and 5506621308.

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, 8924524 + ... + 8925140.

It is an arithmetic number, because the mean of its divisors is an integer number (65798460).

Almost surely, 25506621344 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 5506621344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9474978240).

5506621344 is an abundant number, since it is smaller than the sum of its proper divisors (13443335136).

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

5506621344 is a wasteful number, since it uses less digits than its factorization.

5506621344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5506621344 is about 74206.6125355416. The cubic root of 5506621344 is about 1765.8822366490.

Adding to 5506621344 its reverse (4431266055), we get a palindrome (9937887399).

The spelling of 5506621344 in words is "five billion, five hundred six million, six hundred twenty-one thousand, three hundred forty-four".