Search a number
-
+
81483415209 = 34722321972
BaseRepresentation
bin100101111100011001…
…0100011111010101001
321210022201102101010000
41023320302203322221
52313334223241314
6101233304213213
75613143413200
oct1137062437251
9253281371100
1081483415209
1131614299969
121396076a209
1378b756b2b1
143d2dba2237
1521bd83e209
hex12f8ca3ea9

81483415209 has 135 divisors (see below), whose sum is σ = 148774297287. Its totient is φ = 44311440096.

The previous prime is 81483415201. The next prime is 81483415229. The reversal of 81483415209 is 90251438418.

The square root of 81483415209 is 285453.

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

81483415209 is a `hidden beast` number, since 8 + 1 + 4 + 83 + 41 + 520 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79837328025 + 1646087184 = 282555^2 + 40572^2 .

It is not a de Polignac number, because 81483415209 - 23 = 81483415201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (81483415201) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 413621299 + ... + 413621495.

Almost surely, 281483415209 is an apocalyptic number.

81483415209 is the 285453-rd square number.

81483415209 is the 142727-th centered octagonal number.

It is an amenable number.

81483415209 is a deficient number, since it is larger than the sum of its proper divisors (67290882078).

81483415209 is an equidigital number, since it uses as much as digits as its factorization.

81483415209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 81483415209 in words is "eighty-one billion, four hundred eighty-three million, four hundred fifteen thousand, two hundred nine".

Divisors: 1 3 7 9 21 23 27 49 63 69 81 147 161 189 197 207 441 483 529 567 591 621 1127 1323 1379 1449 1587 1773 1863 3381 3703 3969 4137 4347 4531 4761 5319 9653 10143 11109 12411 13041 13593 14283 15957 25921 28959 30429 31717 33327 37233 38809 40779 42849 77763 86877 91287 95151 99981 104213 111699 116427 122337 222019 233289 260631 271663 285453 299943 312639 349281 367011 666057 699867 729491 781893 814989 856359 892607 937917 1047843 1901641 1998171 2099601 2188473 2444967 2569077 2677821 2813751 3143529 5106437 5704923 5994513 6248249 6565419 7334901 8033463 8441253 15319311 17114769 17983539 18744747 19696257 20529961 22004703 24100389 43737743 45957933 51344307 56234241 59088771 61589883 72301167 131213229 137873799 143709727 154032921 168702723 184769649 393639687 413621397 431129181 506108169 554308947 1005968089 1180919061 1293387543 1662926841 3017904267 3542757183 3880162629 9053712801 11640487887 27161138403 81483415209