Search a number
-
+
6442049991 = 31336191579
BaseRepresentation
bin1011111111111100…
…11110000111000111
3121121221212001021010
411333332132013013
5101143131044431
62543123253303
7315432343566
oct57776360707
917557761233
106442049991
112806407563
1212b951a233
137b8841000
144517dbbdd
1527a855846
hex17ff9e1c7

6442049991 has 32 divisors (see below), whose sum is σ = 9325792000. Its totient is φ = 3955427424.

The previous prime is 6442049969. The next prime is 6442050019. The reversal of 6442049991 is 1999402446.

It is not a de Polignac number, because 6442049991 - 26 = 6442049927 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6442049991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6442049291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4079040 + ... + 4080618.

It is an arithmetic number, because the mean of its divisors is an integer number (291431000).

Almost surely, 26442049991 is an apocalyptic number.

6442049991 is a deficient number, since it is larger than the sum of its proper divisors (2883742009).

6442049991 is a wasteful number, since it uses less digits than its factorization.

6442049991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 6442049991 is about 80262.3821662427. The cubic root of 6442049991 is about 1860.6928847044.

It can be divided in two parts, 64420 and 49991, that added together give a palindrome (114411).

The spelling of 6442049991 in words is "six billion, four hundred forty-two million, forty-nine thousand, nine hundred ninety-one".

Divisors: 1 3 13 39 169 507 619 1579 1857 2197 4737 6591 8047 20527 24141 61581 104611 266851 313833 800553 977401 1359943 2932203 3469063 4079829 10407189 12706213 38118639 165180769 495542307 2147349997 6442049991