Search a number
-
+
206306430975 = 3452234429553
BaseRepresentation
bin1100000000100011010…
…0100100111111111111
3201201111211221120110000
43000020310210333333
511340003421242400
6234435330445343
720622315505101
oct3001064447777
9651454846400
10206306430975
117a548669127
1233b97733853
13165baa27c38
149db1899571
155576e3b600
hex3008d24fff

206306430975 has 60 divisors (see below), whose sum is σ = 398766169296. Its totient is φ = 105246155520.

The previous prime is 206306430973. The next prime is 206306430997. The reversal of 206306430975 is 579034603602.

206306430975 is a `hidden beast` number, since 2 + 0 + 630 + 6 + 4 + 3 + 0 + 9 + 7 + 5 = 666.

It is not a de Polignac number, because 206306430975 - 21 = 206306430973 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 206306430975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206306430973) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2168202 + ... + 2261351.

Almost surely, 2206306430975 is an apocalyptic number.

206306430975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

206306430975 is a deficient number, since it is larger than the sum of its proper divisors (192459738321).

206306430975 is a wasteful number, since it uses less digits than its factorization.

206306430975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429598 (or 4429584 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 206306430975 in words is "two hundred six billion, three hundred six million, four hundred thirty thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 81 115 135 207 225 345 405 575 621 675 1035 1725 1863 2025 3105 5175 9315 15525 46575 4429553 13288659 22147765 39865977 66443295 101879719 110738825 119597931 199329885 305639157 332216475 358793793 509398595 597989655 916917471 996649425 1528195785 1793968965 2546992975 2750752413 2989948275 4584587355 7640978925 8252257239 8969844825 13753762065 22922936775 41261286195 68768810325 206306430975