Search a number
-
+
9728008011 = 331013567293
BaseRepresentation
bin10010000111101010…
…11001111101001011
3221002221222000021000
421003311121331023
5124410332224021
64245144550043
7463032463251
oct110365317513
927087860230
109728008011
114142230447
121a75a82323
13bc0547a77
14683da05d1
153be082b26
hex243d59f4b

9728008011 has 16 divisors (see below), whose sum is σ = 14554559520. Its totient is φ = 6421125600.

The previous prime is 9728008009. The next prime is 9728008027. The reversal of 9728008011 is 1108008279.

It is not a de Polignac number, because 9728008011 - 21 = 9728008009 is a prime.

It is a super-2 number, since 2×97280080112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9728008051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1780920 + ... + 1786373.

It is an arithmetic number, because the mean of its divisors is an integer number (909659970).

Almost surely, 29728008011 is an apocalyptic number.

9728008011 is a deficient number, since it is larger than the sum of its proper divisors (4826551509).

9728008011 is a wasteful number, since it uses less digits than its factorization.

9728008011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567403 (or 3567397 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 9728008011 is about 98630.6646586142. The cubic root of 9728008011 is about 2134.7219049578.

The spelling of 9728008011 in words is "nine billion, seven hundred twenty-eight million, eight thousand, eleven".

Divisors: 1 3 9 27 101 303 909 2727 3567293 10701879 32105637 96316911 360296593 1080889779 3242669337 9728008011