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213409472883936 = 25373037104568199
BaseRepresentation
bin110000100001100001000011…
…110100101010110011100000
31000222121202011002121022122220
4300201201003310222303200
5210433000100024241221
62033514543003031040
762644216453220520
oct6041410364526340
91028552132538586
10213409472883936
1161aa94a396233a
121bb2822880b480
139210571cb55a4
143a9b105d5b680
1519a140baaa0c6
hexc21843d2ace0

213409472883936 has 96 divisors (see below), whose sum is σ = 640439234265600. Its totient is φ = 60954057432576.

The previous prime is 213409472883913. The next prime is 213409472883961. The reversal of 213409472883936 is 639388274904312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50243236 + ... + 54324963.

It is an arithmetic number, because the mean of its divisors is an integer number (6671242023600).

Almost surely, 2213409472883936 is an apocalyptic number.

It is an amenable number.

213409472883936 is an abundant number, since it is smaller than the sum of its proper divisors (427029761381664).

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

213409472883936 is a wasteful number, since it uses less digits than its factorization.

213409472883936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104571256 (or 104571248 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 69.

The spelling of 213409472883936 in words is "two hundred thirteen trillion, four hundred nine billion, four hundred seventy-two million, eight hundred eighty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3037 6074 9111 12148 18222 21259 24296 36444 42518 48592 63777 72888 85036 97184 127554 145776 170072 255108 291552 340144 510216 680288 1020432 2040864 104568199 209136398 313704597 418272796 627409194 731977393 836545592 1254818388 1463954786 1673091184 2195932179 2509636776 2927909572 3346182368 4391864358 5019273552 5855819144 8783728716 10038547104 11711638288 17567457432 23423276576 35134914864 70269829728 317573620363 635147240726 952720861089 1270294481452 1905441722178 2223015342541 2540588962904 3810883444356 4446030685082 5081177925808 6669046027623 7621766888712 8892061370164 10162355851616 13338092055246 15243533777424 17784122740328 26676184110492 30487067554848 35568245480656 53352368220984 71136490961312 106704736441968 213409472883936