Search a number
-
+
206453005641 = 3231124872
BaseRepresentation
bin1100000001000110001…
…1101101110101001001
3201201220001202100002100
43000101203231311021
511340303432140031
6234502044224013
720626045410351
oct3002143556511
9651801670070
10206453005641
117a613380913
123401883b009
13166121c79cc
149dc7131b61
155584c40de6
hex30118edd49

206453005641 has 27 divisors (see below), whose sum is σ = 299787431853. Its totient is φ = 136911069720.

The previous prime is 206453005621. The next prime is 206453005751. The reversal of 206453005641 is 146500354602.

The square root of 206453005641 is 454371.

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

206453005641 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 5 + 3 + 0 + 0 + 5 + 641 = 666.

It is not a de Polignac number, because 206453005641 - 25 = 206453005609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 206453005596 and 206453005605.

It is not an unprimeable number, because it can be changed into a prime (206453005621) 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, 423927900 + ... + 423928386.

Almost surely, 2206453005641 is an apocalyptic number.

206453005641 is the 454371-st square number.

206453005641 is the 227186-th centered octagonal number.

It is an amenable number.

206453005641 is a deficient number, since it is larger than the sum of its proper divisors (93334426212).

206453005641 is an frugal number, since it uses more digits than its factorization.

206453005641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 801 counting only the distinct ones).

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

Multiplying 206453005641 by its sum of digits (36), we get a square (7432308203076 = 27262262).

The spelling of 206453005641 in words is "two hundred six billion, four hundred fifty-three million, five thousand, six hundred forty-one".

Divisors: 1 3 9 311 487 933 1461 2799 4383 96721 151457 237169 290163 454371 711507 870489 1363113 2134521 47103127 73759559 141309381 221278677 423928143 663836031 22939222849 68817668547 206453005641