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16979889290445 = 3851761349669
BaseRepresentation
bin1111011100010111000001…
…0001001111110011001101
32020010021001200100100000000
43313011300101033303031
54211144303124243240
6100040241540154513
73401520325402314
oct367056021176315
966107050310000
1016979889290445
115457148926644
121aa2996698a39
13962273185bc3
14429b8c4a127b
151e6a44d08430
hexf717044fccd

16979889290445 has 144 divisors (see below), whose sum is σ = 32413469390640. Its totient is φ = 8509163083776.

The previous prime is 16979889290437. The next prime is 16979889290459. The reversal of 16979889290445 is 54409298897961.

16979889290445 is a `hidden beast` number, since 1 + 6 + 9 + 7 + 9 + 8 + 89 + 2 + 90 + 445 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4827714206436 + 12152175084009 = 2197206^2 + 3485997^2 .

It is not a de Polignac number, because 16979889290445 - 23 = 16979889290437 is a prime.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 341836071 + ... + 341885739.

It is an arithmetic number, because the mean of its divisors is an integer number (225093537435).

Almost surely, 216979889290445 is an apocalyptic number.

16979889290445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16979889290445 is a deficient number, since it is larger than the sum of its proper divisors (15433580100195).

16979889290445 is an frugal number, since it uses more digits than its factorization.

16979889290445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50328 (or 50307 counting only the distinct ones).

The product of its (nonzero) digits is 2821754880, while the sum is 81.

The spelling of 16979889290445 in words is "sixteen trillion, nine hundred seventy-nine billion, eight hundred eighty-nine million, two hundred ninety thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 243 255 405 459 613 729 765 1215 1377 1839 2187 2295 3065 3645 4131 5517 6561 6885 9195 10421 10935 12393 16551 20655 27585 31263 32805 37179 49653 49669 52105 61965 82755 93789 111537 148959 149007 156315 185895 248265 248345 281367 446877 447021 468945 557685 744795 745035 844101 844373 1340631 1341063 1406835 2234385 2235105 2532303 2533119 4021893 4023189 4220505 4221865 6703155 6705315 7596909 7599357 12069567 12661515 12665595 20109465 20115945 22790727 22798071 30447097 36208701 37984545 37996785 60347835 68372181 68394213 91341291 108626103 113953635 113990355 152235485 181043505 205182639 274023873 325878309 341860905 341971065 456706455 517600649 543130515 615547917 822071619 1025913195 1370119365 1552801947 1629391545 1846643751 2466214857 2588003245 3077739585 4110358095 4658405841 5539931253 7398644571 7764009735 9233218755 12331074285 13975217523 22195933713 23292029205 27699656265 36993222855 41925652569 66587801139 69876087615 110979668565 125776957707 199763403417 209628262845 332939005695 377330873121 628884788535 998817017085 1131992619363 1886654365605 3395977858089 5659963096815 16979889290445