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16309678955328 = 2632112234011693
BaseRepresentation
bin1110110101010110010010…
…0111101101101101000000
32010202012010120100201002200
43231111210213231231000
54114204210303032303
654404321342513200
73302223022503603
oct355254447555500
963665116321080
1016309678955328
11521899463a100
1219b4b12595800
13913cc4648805
1440556d6d233a
151d43bb17d3a3
hexed5649edb40

16309678955328 has 126 divisors (see below), whose sum is σ = 51384989803602. Its totient is φ = 4942326935040.

The previous prime is 16309678955327. The next prime is 16309678955419. The reversal of 16309678955328 is 82355987690361.

16309678955328 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 9 + 6 + 7 + 89 + 5 + 532 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11556790622784 + 4752888332544 = 3399528^2 + 2180112^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16309678955321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 116936151 + ... + 117075542.

Almost surely, 216309678955328 is an apocalyptic number.

16309678955328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16309678955328 is an abundant number, since it is smaller than the sum of its proper divisors (35075310848274).

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

16309678955328 is a wasteful number, since it uses less digits than its factorization.

16309678955328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234011733 (or 234011709 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 16309678955328 in words is "sixteen trillion, three hundred nine billion, six hundred seventy-eight million, nine hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 132 144 176 192 198 242 264 288 352 363 396 484 528 576 704 726 792 968 1056 1089 1452 1584 1936 2112 2178 2904 3168 3872 4356 5808 6336 7744 8712 11616 17424 23232 34848 69696 234011693 468023386 702035079 936046772 1404070158 1872093544 2106105237 2574128623 2808140316 3744187088 4212210474 5148257246 5616280632 7488374176 7722385869 8424420948 10296514492 11232561264 14976748352 15444771738 16848841896 20593028984 22465122528 23167157607 28315414853 30889543476 33697683792 41186057968 44930245056 46334315214 56630829706 61779086952 67395367584 82372115936 84946244559 92668630428 113261659412 123558173904 134790735168 164744231872 169892489118 185337260856 226523318824 247116347808 254838733677 339784978236 370674521712 453046637648 494232695616 509677467354 679569956472 741349043424 906093275296 1019354934708 1359139912944 1482698086848 1812186550592 2038709869416 2718279825888 4077419738832 5436559651776 8154839477664 16309678955328