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128807056609 = 72112592792
BaseRepresentation
bin111011111110101111…
…1111011010011100001
3110022110210012102221021
41313331133323103201
54102244101302414
6135101222125441
712206646626200
oct1677537732341
9408423172837
10128807056609
114a699253100
1220b69280881
13c1b99b127a
14633cc95237
15353d26dc24
hex1dfd7fb4e1

128807056609 has 81 divisors (see below), whose sum is σ = 169682953041. Its totient is φ = 97419001680.

The previous prime is 128807056603. The next prime is 128807056613. The reversal of 128807056609 is 906650708821.

The square root of 128807056609 is 358897.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 128807056609 - 23 = 128807056601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (128807056601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1630469032 + ... + 1630469110.

Almost surely, 2128807056609 is an apocalyptic number.

128807056609 is the 358897-th square number.

128807056609 is the 179449-th centered octagonal number.

It is an amenable number.

128807056609 is a deficient number, since it is larger than the sum of its proper divisors (40875896432).

128807056609 is an frugal number, since it uses more digits than its factorization.

128807056609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 128807056609 in words is "one hundred twenty-eight billion, eight hundred seven million, fifty-six thousand, six hundred nine".

Divisors: 1 7 11 49 59 77 79 121 413 539 553 649 847 869 2891 3481 3871 4543 4661 5929 6083 6241 7139 9559 24367 31801 32627 38291 42581 43687 49973 51271 66913 68651 170569 228389 268037 274999 305809 349811 358897 368219 421201 468391 480557 563981 755161 1876259 1924993 2512279 2577533 2948407 3024989 3363899 3947867 4050409 5286127 13474951 18042731 20638849 21174923 21724921 27635069 28352863 33274879 37002889 44554499 148224461 152074447 198470041 232924153 238974131 311881493 1064521129 1630469071 1672818917 2183170451 2628715441 11709732419 18401008087 128807056609