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16527438168 = 23341533111019
BaseRepresentation
bin11110110010001110…
…01011000101011000
31120122211021211221120
433121013023011120
5232322011010133
611332000205240
71123364622633
oct173107130530
946584254846
1016527438168
117011342a0a
123253009820
131735127217
14b2b02ac1a
1566ae7dab3
hex3d91cb158

16527438168 has 128 divisors (see below), whose sum is σ = 43306099200. Its totient is φ = 5251251200.

The previous prime is 16527438143. The next prime is 16527438223. The reversal of 16527438168 is 86183472561.

16527438168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 16527438168.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16218763 + ... + 16219781.

It is an arithmetic number, because the mean of its divisors is an integer number (338328900).

Almost surely, 216527438168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16527438168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21653049600).

16527438168 is an abundant number, since it is smaller than the sum of its proper divisors (26778661032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16527438168 is a wasteful number, since it uses less digits than its factorization.

16527438168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1429 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The spelling of 16527438168 in words is "sixteen billion, five hundred twenty-seven million, four hundred thirty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 53 82 106 123 159 164 212 246 311 318 328 424 492 622 636 933 984 1019 1244 1272 1866 2038 2173 2488 3057 3732 4076 4346 6114 6519 7464 8152 8692 12228 12751 13038 16483 17384 24456 25502 26076 32966 38253 41779 49449 51004 52152 54007 65932 76506 83558 98898 102008 108014 125337 131864 153012 162021 167116 197796 216028 250674 306024 316909 324042 334232 395592 432056 501348 633818 648084 675803 950727 1002696 1267636 1296168 1351606 1901454 2027409 2214287 2535272 2703212 3802908 4054818 4428574 5406424 6642861 7605816 8109636 8857148 12993269 13285722 16219272 16796177 17714296 25986538 26571444 33592354 38979807 50388531 51973076 53142888 67184708 77959614 100777062 103946152 134369416 155919228 201554124 311838456 403108248 688643257 1377286514 2065929771 2754573028 4131859542 5509146056 8263719084 16527438168