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206240060160 = 2832537592139
BaseRepresentation
bin1100000000010011011…
…1011001001100000000
3201201100020001120210200
43000010313121030000
511334334423411120
6234425000125200
720620551405141
oct3000467311400
9651306046720
10206240060160
117a514156812
1233b79466800
13165aa05a274
149da6b3dac8
1555711cae90
hex3004dd9300

206240060160 has 648 divisors, whose sum is σ = 750849786960. Its totient is φ = 52225523712.

The previous prime is 206240060149. The next prime is 206240060161. The reversal of 206240060160 is 61060042602.

It is a happy number.

206240060160 is a `hidden beast` number, since 20 + 624 + 0 + 0 + 6 + 0 + 16 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (206240060161) 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 71 ways as a sum of consecutive naturals, for example, 1483741371 + ... + 1483741509.

Almost surely, 2206240060160 is an apocalyptic number.

206240060160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206240060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375424893480).

206240060160 is an abundant number, since it is smaller than the sum of its proper divisors (544609726800).

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

206240060160 is a wasteful number, since it uses less digits than its factorization.

206240060160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 206240060160 in words is "two hundred six billion, two hundred forty million, sixty thousand, one hundred sixty".