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268637485318272 = 2732733313180223
BaseRepresentation
bin111101000101001100001001…
…111000101100000010000000
31022020011111022020111111120100
4331011030021320230002000
5240202324032220141042
62351202205042442400
7110404263213263640
oct7505141170540200
91266144266444510
10268637485318272
1178661577108664
12261678b2363400
13b6b8538471305
144a4a1a3498520
15210cd2678124c
hexf45309e2c080

268637485318272 has 96 divisors (see below), whose sum is σ = 883465539540480. Its totient is φ = 76753567231488.

The previous prime is 268637485318261. The next prime is 268637485318289. The reversal of 268637485318272 is 272813584736862.

268637485318272 is a `hidden beast` number, since 2 + 6 + 8 + 6 + 3 + 7 + 4 + 8 + 531 + 82 + 7 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 268637485318272.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16656582048 + ... + 16656598175.

It is an arithmetic number, because the mean of its divisors is an integer number (9202766036880).

Almost surely, 2268637485318272 is an apocalyptic number.

It is an amenable number.

268637485318272 is an abundant number, since it is smaller than the sum of its proper divisors (614828054222208).

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

268637485318272 is a wasteful number, since it uses less digits than its factorization.

268637485318272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33313180250 (or 33313180235 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 72.

The spelling of 268637485318272 in words is "two hundred sixty-eight trillion, six hundred thirty-seven billion, four hundred eighty-five million, three hundred eighteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 33313180223 66626360446 99939540669 133252720892 199879081338 233192261561 266505441784 299818622007 399758162676 466384523122 533010883568 599637244014 699576784683 799516325352 932769046244 1066021767136 1199274488028 1399153569366 1599032650704 1865538092488 2098730354049 2132043534272 2398548976056 2798307138732 3198065301408 3731076184976 4197460708098 4264087068544 4797097952112 5596614277464 6396130602816 7462152369952 8394921416196 9594195904224 11193228554928 12792261205632 14924304739904 16789842832392 19188391808448 22386457109856 29848609479808 33579685664784 38376783616896 44772914219712 67159371329568 89545828439424 134318742659136 268637485318272