Search a number
-
+
206520947892 = 223571271991201
BaseRepresentation
bin1100000001010110011…
…0111001010010110100
3201202001210121011100000
43000111212321102310
511340423330313032
6234512512351300
720630532043620
oct3002546712264
9652053534300
10206520947892
117a648766936
1234037545530
13166232c5a1c
149dd217a180
15558abb1e7c
hex30159b94b4

206520947892 has 288 divisors, whose sum is σ = 627240140800. Its totient is φ = 58198694400.

The previous prime is 206520947873. The next prime is 206520947923. The reversal of 206520947892 is 298749025602.

206520947892 is a `hidden beast` number, since 2 + 0 + 65 + 20 + 9 + 478 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 171956892 + ... + 171958092.

Almost surely, 2206520947892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206520947892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313620070400).

206520947892 is an abundant number, since it is smaller than the sum of its proper divisors (420719192908).

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

206520947892 is a wasteful number, since it uses less digits than its factorization.

206520947892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 206520947892 in words is "two hundred six billion, five hundred twenty million, nine hundred forty-seven thousand, eight hundred ninety-two".