Search a number
-
+
6455961801 = 32267832
BaseRepresentation
bin1100000001100111…
…00010100011001001
3121122221000211200100
412000303202203021
5101210211234201
62544341400013
7315661525032
oct60063424311
917587024610
106455961801
112813249723
121302109009
137bb6a2253
144535bda89
1527bba2886
hex180ce28c9

6455961801 has 9 divisors (see below), whose sum is σ = 9325626349. Its totient is φ = 4303813836.

The previous prime is 6455961791. The next prime is 6455961851. The reversal of 6455961801 is 1081695546.

The square root of 6455961801 is 80349.

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

6455961801 is a `hidden beast` number, since 6 + 45 + 596 + 18 + 0 + 1 = 666.

6455961801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 6455961801 - 29 = 6455961289 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6455961851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 227656 + ... + 254438.

Almost surely, 26455961801 is an apocalyptic number.

6455961801 is the 80349-th square number.

6455961801 is the 40175-th centered octagonal number.

It is an amenable number.

6455961801 is a deficient number, since it is larger than the sum of its proper divisors (2869664548).

6455961801 is an frugal number, since it uses more digits than its factorization.

6455961801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53572 (or 26786 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The cubic root of 6455961801 is about 1862.0313300049.

It can be divided in two parts, 6455 and 961801, that added together give a square (968256 = 9842).

The spelling of 6455961801 in words is "six billion, four hundred fifty-five million, nine hundred sixty-one thousand, eight hundred one".

Divisors: 1 3 9 26783 80349 241047 717329089 2151987267 6455961801