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16526130916 = 221721921992
BaseRepresentation
bin11110110010000100…
…01011111011100100
31120122201211102201211
433121002023323210
5232321142142131
611331512201204
71123350536461
oct173102137344
946581742654
1016526130916
11701062a839
123252699204
131734a8a1b9
14b2abaa668
1566acc15b1
hex3d908bee4

16526130916 has 81 divisors (see below), whose sum is σ = 32587824969. Its totient is φ = 7330663296.

The previous prime is 16526130889. The next prime is 16526130917. The reversal of 16526130916 is 61903162561.

It is a happy number.

The square root of 16526130916 is 128554.

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., 12866364900 + 3659766016 = 113430^2 + 60496^2 .

It is a super-2 number, since 2×165261309162 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16526130917) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 83045785 + ... + 83045983.

Almost surely, 216526130916 is an apocalyptic number.

16526130916 is the 128554-th square number.

It is an amenable number.

16526130916 is a deficient number, since it is larger than the sum of its proper divisors (16061694053).

16526130916 is a wasteful number, since it uses less digits than its factorization.

16526130916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The spelling of 16526130916 in words is "sixteen billion, five hundred twenty-six million, one hundred thirty thousand, nine hundred sixteen".

Divisors: 1 2 4 17 19 34 38 68 76 199 289 323 361 398 578 646 722 796 1156 1292 1444 3383 3781 5491 6137 6766 7562 10982 12274 13532 15124 21964 24548 39601 57511 64277 71839 79202 104329 115022 128554 143678 158404 208658 230044 257108 287356 417316 673217 752419 1092709 1221263 1346434 1504838 2185418 2442526 2692868 3009676 4370836 4885052 11444689 12791123 14295961 20761471 22889378 25582246 28591922 41522942 45778756 51164492 57183844 83045884 217449091 243031337 434898182 486062674 869796364 972125348 4131532729 8263065458 16526130916