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209117136672 = 25331912738617
BaseRepresentation
bin1100001011000001011…
…0100100011100100000
3201222202201210012211000
43002300112210130200
511411232441333142
6240022253552000
721052055222253
oct3026026443440
9658681705730
10209117136672
11807601989a4
1234640aa5600
1316948132cc2
14a19aca909a
15568da8d14c
hex30b05a4720

209117136672 has 96 divisors (see below), whose sum is σ = 642026347200. Its totient is φ = 66036985344.

The previous prime is 209117136667. The next prime is 209117136713. The reversal of 209117136672 is 276631711902.

209117136672 is a `hidden beast` number, since 209 + 1 + 17 + 1 + 366 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6352893 + ... + 6385724.

It is an arithmetic number, because the mean of its divisors is an integer number (6687774450).

Almost surely, 2209117136672 is an apocalyptic number.

It is an amenable number.

209117136672 is an abundant number, since it is smaller than the sum of its proper divisors (432909210528).

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

209117136672 is a wasteful number, since it uses less digits than its factorization.

209117136672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12738655 (or 12738641 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 209117136672 in words is "two hundred nine billion, one hundred seventeen million, one hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 12738617 25477234 38215851 50954468 76431702 101908936 114647553 152863404 203817872 229295106 242033723 305726808 343942659 407635744 458590212 484067446 611453616 687885318 726101169 917180424 968134892 1222907232 1375770636 1452202338 1834360848 1936269784 2178303507 2751541272 2904404676 3668721696 3872539568 4356607014 5503082544 5808809352 6534910521 7745079136 8713214028 11006165088 11617618704 13069821042 17426428056 23235237408 26139642084 34852856112 52279284168 69705712224 104558568336 209117136672