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206658832380 = 2235711137148463
BaseRepresentation
bin1100000001110111010…
…0111000011111111100
3201202102102001102021220
43000131310320133330
511341214130114010
6234534315553340
720634125043330
oct3003564703774
9652372042256
10206658832380
117a709583560
123407575b850
1316645a42190
14a0065cd7c0
155597d4b970
hex301dd387fc

206658832380 has 384 divisors, whose sum is σ = 787880411136. Its totient is φ = 39079756800.

The previous prime is 206658832363. The next prime is 206658832381. The reversal of 206658832380 is 83238856602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206658832381) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4240029 + ... + 4288491.

It is an arithmetic number, because the mean of its divisors is an integer number (2051771904).

Almost surely, 2206658832380 is an apocalyptic number.

206658832380 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 206658832380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393940205568).

206658832380 is an abundant number, since it is smaller than the sum of its proper divisors (581221578756).

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

206658832380 is a wasteful number, since it uses less digits than its factorization.

206658832380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48577 (or 48575 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 206658832380 in words is "two hundred six billion, six hundred fifty-eight million, eight hundred thirty-two thousand, three hundred eighty".