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13165497081 = 34112192612
BaseRepresentation
bin11000100001011100…
…11000101011111001
31020222112012112210000
430100232120223321
5203430331401311
610014222143213
7644152610262
oct142056305371
936875175700
1013165497081
115646641900
122675121b09
13131a768579
148cc729969
15520c43056
hex310b98af9

13165497081 has 135 divisors (see below), whose sum is σ = 23195211039. Its totient is φ = 7435216800.

The previous prime is 13165497049. The next prime is 13165497133. The reversal of 13165497081 is 18079456131.

13165497081 = 72552 + 72562 + ... + 74962.

The square root of 13165497081 is 114741.

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

13165497081 is a `hidden beast` number, since 1 + 31 + 6 + 549 + 70 + 8 + 1 = 666.

13165497081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 428117481 + 12737379600 = 20691^2 + 112860^2 .

It is not a de Polignac number, because 13165497081 - 25 = 13165497049 is a prime.

It is a super-2 number, since 2×131654970812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13165497011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 215827791 + ... + 215827851.

Almost surely, 213165497081 is an apocalyptic number.

13165497081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13165497081 is the 114741-st square number.

13165497081 is the 57371-st centered octagonal number.

It is an amenable number.

13165497081 is a deficient number, since it is larger than the sum of its proper divisors (10029713958).

13165497081 is an equidigital number, since it uses as much as digits as its factorization.

13165497081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 13165497081 in words is "thirteen billion, one hundred sixty-five million, four hundred ninety-seven thousand, eighty-one".

Divisors: 1 3 9 11 19 27 33 57 61 81 99 121 171 183 209 297 361 363 513 549 627 671 891 1083 1089 1159 1539 1647 1881 2013 2299 3249 3267 3477 3721 3971 4941 5643 6039 6897 7381 9747 9801 10431 11163 11913 12749 16929 18117 20691 22021 22143 29241 31293 33489 35739 38247 40931 43681 54351 62073 66063 66429 70699 93879 100467 107217 114741 122793 131043 140239 186219 198189 199287 212097 242231 301401 321651 344223 368379 393129 420717 450241 594567 597861 636291 726693 777689 1032669 1105137 1179387 1262151 1343281 1350723 1783701 1908873 2180079 2333067 2664541 3315411 3538161 3786453 4029843 4052169 5726619 6540237 6999201 7993623 8554579 11359359 12089529 12156507 14776091 19620711 20997603 23980869 25663737 36268587 36469521 44328273 62992809 71942607 76991211 108805761 132984819 162537001 215827821 230973633 398954457 487611003 692920899 1196863371 1462833009 4388499027 13165497081