Search a number
-
+
9073692864 = 2632147110709
BaseRepresentation
bin10000111001101010…
…11001000011000000
3212102100202100121200
420130311121003000
5122040331132424
64100212421200
7440566055025
oct103465310300
925370670550
109073692864
113936954825
121912917800
13b17b12942
1462111954c
153818d68c9
hex21cd590c0

9073692864 has 84 divisors (see below), whose sum is σ = 26028213120. Its totient is φ = 3022225920.

The previous prime is 9073692857. The next prime is 9073692889. The reversal of 9073692864 is 4682963709.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 9073692864.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 841942 + ... + 852650.

It is an arithmetic number, because the mean of its divisors is an integer number (309859680).

Almost surely, 29073692864 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 9073692864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13014106560).

9073692864 is an abundant number, since it is smaller than the sum of its proper divisors (16954520256).

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

9073692864 is a wasteful number, since it uses less digits than its factorization.

9073692864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12198 (or 12185 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 9073692864 is about 95255.9334844817. The cubic root of 9073692864 is about 2085.7457063849.

The spelling of 9073692864 in words is "nine billion, seventy-three million, six hundred ninety-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1471 2942 4413 5884 8826 10709 11768 13239 17652 21418 23536 26478 32127 35304 42836 47072 52956 64254 70608 85672 94144 96381 105912 128508 141216 171344 192762 211824 257016 282432 342688 385524 423648 514032 685376 771048 847296 1028064 1542096 2056128 3084192 6168384 15752939 31505878 47258817 63011756 94517634 126023512 141776451 189035268 252047024 283552902 378070536 504094048 567105804 756141072 1008188096 1134211608 1512282144 2268423216 3024564288 4536846432 9073692864