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20643655041 = 3247210192
BaseRepresentation
bin10011001110011101…
…010010110110000001
31222021200200022222100
4103032131102312001
5314234233430131
613252241101013
71330366113132
oct231635226601
958250608870
1020643655041
118833894639
124001627769
131c3cb498c9
14ddb993c89
1580c50d7e6
hex4ce752d81

20643655041 has 27 divisors (see below), whose sum is σ = 30496477921. Its totient is φ = 13456400424.

The previous prime is 20643655027. The next prime is 20643655049. The reversal of 20643655041 is 14055634602.

The square root of 20643655041 is 143679.

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

20643655041 is a `hidden beast` number, since 2 + 0 + 64 + 3 + 6 + 550 + 41 = 666.

It is not a de Polignac number, because 20643655041 - 215 = 20643622273 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20643654987 and 20643655005.

It is not an unprimeable number, because it can be changed into a prime (20643655049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20258230 + ... + 20259248.

Almost surely, 220643655041 is an apocalyptic number.

20643655041 is the 143679-th square number.

20643655041 is the 71840-th centered octagonal number.

It is an amenable number.

20643655041 is a deficient number, since it is larger than the sum of its proper divisors (9852822880).

20643655041 is an frugal number, since it uses more digits than its factorization.

20643655041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 20643655041 by its sum of digits (36), we get a square (743171581476 = 8620742).

It can be divided in two parts, 20643 and 655041, that added together give a square (675684 = 8222).

The spelling of 20643655041 in words is "twenty billion, six hundred forty-three million, six hundred fifty-five thousand, forty-one".

Divisors: 1 3 9 47 141 423 1019 2209 3057 6627 9171 19881 47893 143679 431037 1038361 2250971 3115083 6752913 9345249 20258739 48802967 146408901 439226703 2293739449 6881218347 20643655041