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9286984161 = 32721323532
BaseRepresentation
bin10001010011000110…
…00010000111100001
3212222020002200021100
420221203002013201
5123004431443121
64133312145013
7446066030400
oct105143020741
925866080240
109286984161
113a36295724
121972238169
13b50071900
1464159b637
153954b9026
hex2298c21e1

9286984161 has 81 divisors (see below), whose sum is σ = 16945357689. Its totient is φ = 4884751872.

The previous prime is 9286984159. The next prime is 9286984171. The reversal of 9286984161 is 1614896829.

The square root of 9286984161 is 96369.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2017716561 + 7269267600 = 44919^2 + 85260^2 .

It is not a de Polignac number, because 9286984161 - 21 = 9286984159 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9286984098 and 9286984107.

It is not an unprimeable number, because it can be changed into a prime (9286984151) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 26308561 + ... + 26308913.

Almost surely, 29286984161 is an apocalyptic number.

9286984161 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

9286984161 is the 96369-th square number.

9286984161 is the 48185-th centered octagonal number.

It is an amenable number.

9286984161 is a deficient number, since it is larger than the sum of its proper divisors (7658373528).

9286984161 is a wasteful number, since it uses less digits than its factorization.

9286984161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 376 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The cubic root of 9286984161 is about 2101.9621993213.

The spelling of 9286984161 in words is "nine billion, two hundred eighty-six million, nine hundred eighty-four thousand, one hundred sixty-one".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 169 273 353 441 507 637 819 1059 1183 1521 1911 2471 3177 3549 4589 5733 7413 8281 10647 13767 17297 22239 24843 32123 41301 51891 59657 74529 96369 124609 155673 178971 224861 289107 373827 417599 536913 674583 872263 1121481 1252797 1619917 2023749 2616789 2923193 3758391 4859751 6105841 7850367 8769579 11339419 14579253 18317523 21058921 26308737 34018257 54952569 63176763 79375933 102054771 147412447 189530289 238127799 442237341 714383397 1031887129 1326712023 3095661387 9286984161