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136314568208 = 24713292111323
BaseRepresentation
bin111111011110011111…
…0110011111000010000
3111000211222220112202102
41332330332303320100
54213133012140313
6142342210135532
712564000466130
oct1767476637020
9430758815672
10136314568208
11528a1024745
12225035815a8
13cb1519c320
146851da0ac0
15382c3d6a58
hex1fbcfb3e10

136314568208 has 120 divisors (see below), whose sum is σ = 336656244288. Its totient is φ = 52066635264.

The previous prime is 136314568139. The next prime is 136314568217. The reversal of 136314568208 is 802865413631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1168835 + ... + 1280157.

Almost surely, 2136314568208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136314568208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168328122144).

136314568208 is an abundant number, since it is smaller than the sum of its proper divisors (200341676080).

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

136314568208 is a wasteful number, since it uses less digits than its factorization.

136314568208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111409 (or 111374 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 136314568208 in words is "one hundred thirty-six billion, three hundred fourteen million, five hundred sixty-eight thousand, two hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 52 56 58 91 104 112 116 182 203 208 232 364 377 406 464 728 754 812 841 1456 1508 1624 1682 2639 3016 3248 3364 5278 5887 6032 6728 10556 10933 11774 13456 21112 21866 23548 42224 43732 47096 76531 87464 94192 111323 153062 174928 222646 306124 445292 612248 779261 890584 1224496 1447199 1558522 1781168 2894398 3117044 3228367 5788796 6234088 6456734 10130393 11577592 12468176 12913468 20260786 22598569 23155184 25826936 40521572 41968771 45197138 51653872 81043144 83937542 90394276 93622643 162086288 167875084 180788552 187245286 293781397 335750168 361577104 374490572 587562794 655358501 671500336 748981144 1175125588 1217094359 1310717002 1497962288 2350251176 2434188718 2621434004 4700502352 4868377436 5242868008 8519660513 9736754872 10485736016 17039321026 19473509744 34078642052 68157284104 136314568208