Search a number
-
+
6534112032 = 2532729731531
BaseRepresentation
bin1100001010111011…
…01010001100100000
3121212101002021122100
412011131222030200
5101340213041112
63000212410400
7320631015210
oct60535521440
917771067570
106534112032
112853377098
121324316a00
138019356a6
1445db24240
1528398d2dc
hex18576a320

6534112032 has 288 divisors, whose sum is σ = 22283614080. Its totient is φ = 1776660480.

The previous prime is 6534112019. The next prime is 6534112133. The reversal of 6534112032 is 2302114356.

6534112032 is a `hidden beast` number, since 6 + 534 + 1 + 120 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6534111987 and 6534112005.

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, 4267107 + ... + 4268637.

It is an arithmetic number, because the mean of its divisors is an integer number (77373660).

Almost surely, 26534112032 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 6534112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11141807040).

6534112032 is an abundant number, since it is smaller than the sum of its proper divisors (15749502048).

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

6534112032 is a wasteful number, since it uses less digits than its factorization.

6534112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6534112032 is about 80833.8544917908. The cubic root of 6534112032 is about 1869.5145900913.

Adding to 6534112032 its reverse (2302114356), we get a palindrome (8836226388).

The spelling of 6534112032 in words is "six billion, five hundred thirty-four million, one hundred twelve thousand, thirty-two".