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25163794161 = 32114192232
BaseRepresentation
bin10111011011111000…
…010000011011110001
32101221201010012011100
4113123320100123301
5403013412403121
615320551235013
71550403502242
oct273370203361
971851105140
1025163794161
11a743340000
124a63378a69
1324b0454c3c
14130a022cc9
159c4279026
hex5dbe106f1

25163794161 has 135 divisors (see below), whose sum is σ = 44111739945. Its totient is φ = 13819932720.

The previous prime is 25163794141. The next prime is 25163794163. The reversal of 25163794161 is 16149736152.

The square root of 25163794161 is 158631.

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

25163794161 is a `hidden beast` number, since 2 + 5 + 1 + 637 + 9 + 4 + 1 + 6 + 1 = 666.

It is not a de Polignac number, because 25163794161 - 233 = 16573859569 is a prime.

Its product of digits (272160) is a multiple of the sum of its prime divisors (56).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (25163794163) 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 134 ways as a sum of consecutive naturals, for example, 1094077996 + ... + 1094078018.

Almost surely, 225163794161 is an apocalyptic number.

25163794161 is the 158631-st square number.

25163794161 is the 79316-th centered octagonal number.

It is an amenable number.

25163794161 is a deficient number, since it is larger than the sum of its proper divisors (18947945784).

25163794161 is an equidigital number, since it uses as much as digits as its factorization.

25163794161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 56 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 25163794161 in words is "twenty-five billion, one hundred sixty-three million, seven hundred ninety-four thousand, one hundred sixty-one".

Divisors: 1 3 9 11 19 23 33 57 69 99 121 171 207 209 253 361 363 437 529 627 759 1083 1089 1311 1331 1587 1881 2277 2299 2783 3249 3933 3971 3993 4761 4807 5819 6897 8303 8349 10051 11913 11979 14421 14641 17457 20691 24909 25047 25289 30153 30613 35739 43263 43681 43923 52371 52877 64009 74727 75867 90459 91333 91839 110561 131043 131769 158631 190969 192027 227601 273999 275517 278179 331683 336743 393129 475893 480491 572907 576081 581647 704099 821997 834537 995049 1004663 1010229 1216171 1441473 1718721 1744941 2100659 2112297 2503611 3013989 3030687 3648513 4324419 5234823 5285401 6301977 6336891 6398117 7745089 9041967 10945539 11051293 13377881 15856203 18905931 19194351 23107249 23235267 33153879 40133643 47568609 57583053 69321747 69705801 99461637 120400929 121564223 147156691 207965241 254179739 364692669 441470073 762539217 1094078007 1324410219 2287617651 2795977129 8387931387 25163794161