Search a number
-
+
6541116444 = 223420188631
BaseRepresentation
bin1100001011110000…
…11000010000011100
3121212212021010220000
412011320120100130
5101344011211234
63001022454300
7321044400222
oct60570302034
917785233800
106541116444
112857320665
121326734390
13803218905
14460a28b12
152843c3899
hex185e1841c

6541116444 has 30 divisors (see below), whose sum is σ = 17099771304. Its totient is φ = 2180372040.

The previous prime is 6541116443. The next prime is 6541116473. The reversal of 6541116444 is 4446111456.

6541116444 is a `hidden beast` number, since 6 + 5 + 4 + 1 + 1 + 1 + 644 + 4 = 666.

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 = 6541116399 and 6541116408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6541116443) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 10093992 + ... + 10094639.

Almost surely, 26541116444 is an apocalyptic number.

It is an amenable number.

6541116444 is an abundant number, since it is smaller than the sum of its proper divisors (10558654860).

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

6541116444 is a wasteful number, since it uses less digits than its factorization.

6541116444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20188647 (or 20188636 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 6541116444 is about 80877.1688673633. The cubic root of 6541116444 is about 1870.1823765238.

The spelling of 6541116444 in words is "six billion, five hundred forty-one million, one hundred sixteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 20188631 40377262 60565893 80754524 121131786 181697679 242263572 363395358 545093037 726790716 1090186074 1635279111 2180372148 3270558222 6541116444