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9042895264 = 251321988007
BaseRepresentation
bin10000110101111111…
…11010000110100000
3212100012210200020211
420122333322012200
5122004440122024
64053152343504
7440043225064
oct103277720640
925305720224
109042895264
11392052a067
121904544b94
13b1161b900
1461adbdaa4
1537dd51594
hex21affa1a0

9042895264 has 72 divisors (see below), whose sum is σ = 20292884640. Its totient is φ = 3953933568.

The previous prime is 9042895241. The next prime is 9042895297. The reversal of 9042895264 is 4625982409.

9042895264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 58749 + ... + 146755.

It is an arithmetic number, because the mean of its divisors is an integer number (281845620).

Almost surely, 29042895264 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 9042895264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10146442320).

9042895264 is an abundant number, since it is smaller than the sum of its proper divisors (11249989376).

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

9042895264 is a wasteful number, since it uses less digits than its factorization.

9042895264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88062 (or 88041 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The square root of 9042895264 is about 95094.1389571408. The cubic root of 9042895264 is about 2083.3832439684.

The spelling of 9042895264 in words is "nine billion, forty-two million, eight hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 169 208 247 304 338 416 494 608 676 988 1352 1976 2704 3211 3952 5408 6422 7904 12844 25688 51376 88007 102752 176014 352028 704056 1144091 1408112 1672133 2288182 2816224 3344266 4576364 6688532 9152728 13377064 14873183 18305456 21737729 26754128 29746366 36610912 43475458 53508256 59492732 86950916 118985464 173901832 237970928 282590477 347803664 475941856 565180954 695607328 1130361908 2260723816 4521447632 9042895264