Search a number
-
+
5443720128 = 2633711163251
BaseRepresentation
bin1010001000111100…
…01001001111000000
3112001101022122011000
411010132021033000
542122043021003
62300101452000
7251620600110
oct50436111700
915041278130
105443720128
112343924560
12107b111000
13689a6a092
14398da7040
1521cda41a3
hex1447893c0

5443720128 has 448 divisors, whose sum is σ = 20154839040. Its totient is φ = 1399680000.

The previous prime is 5443720111. The next prime is 5443720147. The reversal of 5443720128 is 8210273445.

It is a happy number.

5443720128 is a `hidden beast` number, since 5 + 443 + 7 + 201 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 5443720092 and 5443720101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21688003 + ... + 21688253.

It is an arithmetic number, because the mean of its divisors is an integer number (44988480).

Almost surely, 25443720128 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 5443720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10077419520).

5443720128 is an abundant number, since it is smaller than the sum of its proper divisors (14711118912).

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

5443720128 is a wasteful number, since it uses less digits than its factorization.

5443720128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5443720128 is about 73781.5703817695. The cubic root of 5443720128 is about 1759.1326787182.

The spelling of 5443720128 in words is "five billion, four hundred forty-three million, seven hundred twenty thousand, one hundred twenty-eight".