Search a number
-
+
16083860121216 = 27341679289211
BaseRepresentation
bin1110101000001101000011…
…0001001110011010000000
32002221121020212101100120000
43222003100301032122000
54102004221142334331
654112453501320000
73250010022210006
oct352032061163200
962847225340500
1016083860121216
115141143807778
1219791b0266000
138c8917277704
143d866a5d8a76
151cd5a11de0e6
hexea0d0c4e680

16083860121216 has 160 divisors (see below), whose sum is σ = 48151930891680. Its totient is φ = 5329182620160.

The previous prime is 16083860121157. The next prime is 16083860121227. The reversal of 16083860121216 is 61212106838061.

16083860121216 is a `hidden beast` number, since 1 + 6 + 0 + 8 + 3 + 8 + 601 + 21 + 2 + 16 = 666.

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 19 ways as a sum of consecutive naturals, for example, 2913150 + ... + 6376061.

It is an arithmetic number, because the mean of its divisors is an integer number (300949568073).

Almost surely, 216083860121216 is an apocalyptic number.

16083860121216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16083860121216 is an abundant number, since it is smaller than the sum of its proper divisors (32068070770464).

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

16083860121216 is an equidigital number, since it uses as much as digits as its factorization.

16083860121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9289404 (or 9289383 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

Adding to 16083860121216 its reverse (61212106838061), we get a palindrome (77295966959277).

The spelling of 16083860121216 in words is "sixteen trillion, eighty-three billion, eight hundred sixty million, one hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 167 192 216 288 324 334 384 432 501 576 648 668 864 1002 1152 1296 1336 1503 1728 2004 2592 2672 3006 3456 4008 4509 5184 5344 6012 8016 9018 10368 10688 12024 13527 16032 18036 21376 24048 27054 32064 36072 48096 54108 64128 72144 96192 108216 144288 192384 216432 288576 432864 577152 865728 1731456 9289211 18578422 27867633 37156844 55735266 74313688 83602899 111470532 148627376 167205798 222941064 250808697 297254752 334411596 445882128 501617394 594509504 668823192 752426091 891764256 1003234788 1189019008 1337646384 1504852182 1551298237 1783528512 2006469576 2675292768 3009704364 3102596474 3567057024 4012939152 4653894711 5350585536 6019408728 6205192948 8025878304 9307789422 10701171072 12038817456 12410385896 13961684133 16051756608 18615578844 24077634912 24820771792 27923368266 32103513216 37231157688 41885052399 48155269824 49641543584 55846736532 74462315376 83770104798 96310539648 99283087168 111693473064 125655157197 148924630752 167540209596 198566174336 223386946128 251310314394 297849261504 335080419192 446773892256 502620628788 595698523008 670160838384 893547784512 1005241257576 1340321676768 1787095569024 2010482515152 2680643353536 4020965030304 5361286707072 8041930060608 16083860121216