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206782175140 = 22527077381841
BaseRepresentation
bin1100000010010100101…
…1011001011110100100
3201202202000010212202021
43000211023121132210
511341442214101030
6234554443352524
720640153326242
oct3004513313644
9652660125667
10206782175140
117a772168822
12340aab22744
1316665469768
14a018b39792
1555a3ab297a
hex30252d97a4

206782175140 has 24 divisors (see below), whose sum is σ = 434259742392. Its totient is φ = 82709598720.

The previous prime is 206782175101. The next prime is 206782175209. The reversal of 206782175140 is 41571287602.

It can be written as a sum of positive squares in 4 ways, for example, as 7760905216 + 199021269924 = 88096^2 + 446118^2 .

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 7 ways as a sum of consecutive naturals, for example, 350620 + ... + 732460.

It is an arithmetic number, because the mean of its divisors is an integer number (18094155933).

Almost surely, 2206782175140 is an apocalyptic number.

206782175140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206782175140 is an abundant number, since it is smaller than the sum of its proper divisors (227477567252).

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

206782175140 is a wasteful number, since it uses less digits than its factorization.

206782175140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408927 (or 408925 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 43.

The spelling of 206782175140 in words is "two hundred six billion, seven hundred eighty-two million, one hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 27077 54154 108308 135385 270770 381841 541540 763682 1527364 1909205 3818410 7636820 10339108757 20678217514 41356435028 51695543785 103391087570 206782175140