Search a number
-
+
6606741168 = 243223113127139
BaseRepresentation
bin1100010011100101…
…01101111010110000
3122001102202020002100
412021302231322300
5102012311204133
63011325220400
7322502242026
oct61162557260
918042666070
106606741168
112890373475
121344701700
138139b4b01
1446962c716
1528a037e13
hex189cadeb0

6606741168 has 240 divisors, whose sum is σ = 19758735360. Its totient is φ = 2056513536.

The previous prime is 6606741157. The next prime is 6606741181. The reversal of 6606741168 is 8611476066.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47530443 + ... + 47530581.

It is an arithmetic number, because the mean of its divisors is an integer number (82328064).

Almost surely, 26606741168 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 6606741168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9879367680).

6606741168 is an abundant number, since it is smaller than the sum of its proper divisors (13151994192).

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

6606741168 is a wasteful number, since it uses less digits than its factorization.

6606741168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6606741168 is about 81281.8624786613. The cubic root of 6606741168 is about 1876.4158709359.

The spelling of 6606741168 in words is "six billion, six hundred six million, seven hundred forty-one thousand, one hundred sixty-eight".