Search a number
-
+
206632136430 = 235585033801
BaseRepresentation
bin1100000001110000111…
…1000010111011101110
3201202100112211010100000
43000130033002323232
511341140311331210
6234531523445130
720633352115506
oct3003417027356
9652315733300
10206632136430
117a6a54aa495
12340688267a6
1316640356065
14a002c40a06
155595826ac0
hex301c3c2eee

206632136430 has 48 divisors (see below), whose sum is σ = 557141470704. Its totient is φ = 55101902400.

The previous prime is 206632136423. The next prime is 206632136461. The reversal of 206632136430 is 34631236602.

206632136430 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 3 + 2 + 1 + 3 + 643 + 0 = 666.

206632136430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2066321364302 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42514471 + ... + 42519330.

It is an arithmetic number, because the mean of its divisors is an integer number (11607113973).

Almost surely, 2206632136430 is an apocalyptic number.

206632136430 is an abundant number, since it is smaller than the sum of its proper divisors (350509334274).

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

206632136430 is an equidigital number, since it uses as much as digits as its factorization.

206632136430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85033823 (or 85033811 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 206632136430 in words is "two hundred six billion, six hundred thirty-two million, one hundred thirty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 85033801 170067602 255101403 425169005 510202806 765304209 850338010 1275507015 1530608418 2295912627 2551014030 3826521045 4591825254 6887737881 7653042090 11479563135 13775475762 20663213643 22959126270 34438689405 41326427286 68877378810 103316068215 206632136430