Search a number
-
+
5509980160 = 21351741193
BaseRepresentation
bin1010010000110101…
…11010000000000000
3112012222222222211021
411020122322000000
542241023331120
62310425555224
7253354026046
oct51032720000
915188888737
105509980160
112378270713
121099345b14
1369a6c94b9
143a3ad4396
15223ae1aaa
hex1486ba000

5509980160 has 224 divisors, whose sum is σ = 14416777872. Its totient is φ = 2013265920.

The previous prime is 5509980137. The next prime is 5509980169. The reversal of 5509980160 is 610899055.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1019908096 + 4490072064 = 31936^2 + 67008^2 .

It is not an unprimeable number, because it can be changed into a prime (5509980169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28549024 + ... + 28549216.

Almost surely, 25509980160 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 5509980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7208388936).

5509980160 is an abundant number, since it is smaller than the sum of its proper divisors (8906797712).

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

5509980160 is a wasteful number, since it uses less digits than its factorization.

5509980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 43.

The square root of 5509980160 is about 74229.2405996451. The cubic root of 5509980160 is about 1766.2412025559.

The spelling of 5509980160 in words is "five billion, five hundred nine million, nine hundred eighty thousand, one hundred sixty".