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208080796845312 = 283389338250359
BaseRepresentation
bin101111010011111110010101…
…111110110000010100000000
31000021202022220111112110201000
4233103332111332300110000
5204233143432443022222
62014314555354212000
761554225060222606
oct5723762576602400
91007668814473630
10208080796845312
1160334630189306
121b407551a24000
138c14c20104b41
143955242bc5876
15190c9d44259ac
hexbd3f95fb0500

208080796845312 has 144 divisors (see below), whose sum is σ = 622245362256000. Its totient is φ = 68580936585216.

The previous prime is 208080796845287. The next prime is 208080796845319. The reversal of 208080796845312 is 213548697080802.

208080796845312 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 8 + 0 + 7 + 96 + 8 + 4 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 208080796845312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208080796845319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168510012 + ... + 169740347.

It is an arithmetic number, because the mean of its divisors is an integer number (4321148349000).

It is a 1-persistent number, because it is pandigital, but 2⋅208080796845312 = 416161593690624 is not.

Almost surely, 2208080796845312 is an apocalyptic number.

It is an amenable number.

208080796845312 is an abundant number, since it is smaller than the sum of its proper divisors (414164565410688).

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

208080796845312 is an equidigital number, since it uses as much as digits as its factorization.

208080796845312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338250473 (or 338250453 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 208080796845312 in words is "two hundred eight trillion, eighty billion, seven hundred ninety-six million, eight hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 89 96 108 128 144 178 192 216 256 267 288 356 384 432 534 576 712 768 801 864 1068 1152 1424 1602 1728 2136 2304 2403 2848 3204 3456 4272 4806 5696 6408 6912 8544 9612 11392 12816 17088 19224 22784 25632 34176 38448 51264 68352 76896 102528 153792 205056 307584 615168 338250359 676500718 1014751077 1353001436 2029502154 2706002872 3044253231 4059004308 5412005744 6088506462 8118008616 9132759693 10824011488 12177012924 16236017232 18265519386 21648022976 24354025848 30104281951 32472034464 36531038772 43296045952 48708051696 60208563902 64944068928 73062077544 86592091904 90312845853 97416103392 120417127804 129888137856 146124155088 180625691706 194832206784 240834255608 259776275712 270938537559 292248310176 361251383412 389664413568 481668511216 541877075118 584496620352 722502766824 779328827136 812815612677 963337022432 1083754150236 1168993240704 1445005533648 1625631225354 1926674044864 2167508300472 2337986481408 2890011067296 3251262450708 3853348089728 4335016600944 5780022134592 6502524901416 7706696179456 8670033201888 11560044269184 13005049802832 17340066403776 23120088538368 26010099605664 34680132807552 52020199211328 69360265615104 104040398422656 208080796845312