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16686425304 = 2333293185931
BaseRepresentation
bin11111000101001011…
…01010010011011000
31121001220110020022000
433202211222103120
5233133211102204
611355440001000
71130335163163
oct174245522330
947056406260
1016686425304
11709306333a
123298300160
13175c051953
14b441b4ada
15679dd6039
hex3e296a4d8

16686425304 has 128 divisors (see below), whose sum is σ = 49496832000. Its totient is φ = 5197046400.

The previous prime is 16686425251. The next prime is 16686425311. The reversal of 16686425304 is 40352468661.

16686425304 is a `hidden beast` number, since 16 + 68 + 6 + 42 + 530 + 4 = 666.

16686425304 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 16686425304.

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, 151219 + ... + 237149.

It is an arithmetic number, because the mean of its divisors is an integer number (386694000).

Almost surely, 216686425304 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 16686425304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24748416000).

16686425304 is an abundant number, since it is smaller than the sum of its proper divisors (32810406696).

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

16686425304 is a wasteful number, since it uses less digits than its factorization.

16686425304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86006 (or 85996 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 16686425304 in words is "sixteen billion, six hundred eighty-six million, four hundred twenty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 31 36 54 58 62 72 87 93 108 116 124 174 186 216 232 248 261 279 348 372 522 558 696 744 783 837 899 1044 1116 1566 1674 1798 2088 2232 2697 3132 3348 3596 5394 6264 6696 7192 8091 10788 16182 21576 24273 32364 48546 64728 85931 97092 171862 194184 257793 343724 515586 687448 773379 1031172 1546758 2062344 2320137 2491999 2663861 3093516 4640274 4983998 5327722 6187032 7475997 7991583 9280548 9967996 10655444 14951994 15983166 18561096 19935992 21310888 22427991 23974749 29903988 31966332 44855982 47949498 59807976 63932664 67283973 71924247 77251969 89711964 95898996 134567946 143848494 154503938 179423928 191797992 231755907 269135892 287696988 309007876 463511814 538271784 575393976 618015752 695267721 927023628 1390535442 1854047256 2085803163 2781070884 4171606326 5562141768 8343212652 16686425304