Search a number
-
+
9117645967936 = 26112343132
BaseRepresentation
bin1000010010101101111000…
…0011001001001001000000
31012021122020102110012221001
42010223132003021021000
52143340414331433221
631220331055541344
71630504523666362
oct204533603111100
935248212405831
109117645967936
1129a58544a8100
12103308922a854
13511a3746447c
14237421536d32
1510c286b8b391
hex84ade0c9240

9117645967936 has 63 divisors (see below), whose sum is σ = 19887738436153. Its totient is φ = 4144263749120.

The previous prime is 9117645967921. The next prime is 9117645967943. The reversal of 9117645967936 is 6397695467119.

The square root of 9117645967936 is 3019544.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2744323560000 + 6373322407936 = 1656600^2 + 2524544^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 265702716 + ... + 265737028.

Almost surely, 29117645967936 is an apocalyptic number.

9117645967936 is the 3019544-th square number.

It is an amenable number.

9117645967936 is an abundant number, since it is smaller than the sum of its proper divisors (10770092468217).

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

9117645967936 is an frugal number, since it uses more digits than its factorization.

9117645967936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68660 (or 34326 counting only the distinct ones).

The product of its digits is 462944160, while the sum is 73.

The spelling of 9117645967936 in words is "nine trillion, one hundred seventeen billion, six hundred forty-five million, nine hundred sixty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 34313 68626 137252 274504 377443 549008 754886 1098016 1509772 2196032 3019544 4151873 6039088 8303746 12078176 16607492 24156352 33214984 66429968 132859936 265719872 1177381969 2354763938 4709527876 9419055752 12951201659 18838111504 25902403318 37676223008 51804806636 75352446016 103609613272 142463218249 207219226544 284926436498 414438453088 569852872996 828876906176 1139705745992 2279411491984 4558822983968 9117645967936