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20655897768 = 233211142918251
BaseRepresentation
bin10011001111001011…
…111111110010101000
31222022112201022211200
4103033023333302220
5314300402212033
613253355324200
71330605143202
oct231713776250
958275638750
1020655897768
11883a7967a0
124005750660
131c4254521c
14ddd45d772
1580d62b013
hex4cf2ffca8

20655897768 has 96 divisors (see below), whose sum is σ = 61074842400. Its totient is φ = 6254640000.

The previous prime is 20655897763. The next prime is 20655897809. The reversal of 20655897768 is 86779855602.

20655897768 is a `hidden beast` number, since 2 + 0 + 6 + 558 + 9 + 7 + 76 + 8 = 666.

It is a super-2 number, since 2×206558977682 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20655897763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1122643 + ... + 1140893.

It is an arithmetic number, because the mean of its divisors is an integer number (636196275).

Almost surely, 220655897768 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 20655897768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30537421200).

20655897768 is an abundant number, since it is smaller than the sum of its proper divisors (40418944632).

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

20655897768 is a wasteful number, since it uses less digits than its factorization.

20655897768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19703 (or 19696 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 20655897768 in words is "twenty billion, six hundred fifty-five million, eight hundred ninety-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1429 2858 4287 5716 8574 11432 12861 15719 17148 18251 25722 31438 34296 36502 47157 51444 54753 62876 73004 94314 102888 109506 125752 141471 146008 164259 188628 200761 219012 282942 328518 377256 401522 438024 565884 602283 657036 803044 1131768 1204566 1314072 1606088 1806849 2409132 3613698 4818264 7227396 14454792 26080679 52161358 78242037 104322716 156484074 208645432 234726111 286887469 312968148 469452222 573774938 625936296 860662407 938904444 1147549876 1721324814 1877808888 2295099752 2581987221 3442649628 5163974442 6885299256 10327948884 20655897768