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206808208440 = 23352677643781
BaseRepresentation
bin1100000010011010111…
…0101101010000111000
3201202210211010111201120
43000212232231100320
511342020400132230
6235001213345240
720640620524131
oct3004656552070
9652724114646
10206808208440
117a785929a49
12340b7798220
131666a983092
14a01c394c88
1555a6006310
hex3026bad438

206808208440 has 64 divisors (see below), whose sum is σ = 620657350560. Its totient is φ = 55128168960.

The previous prime is 206808208339. The next prime is 206808208441. The reversal of 206808208440 is 44802808602.

It is a junction number, because it is equal to n+sod(n) for n = 206808208392 and 206808208401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206808208441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 651 + ... + 643130.

Almost surely, 2206808208440 is an apocalyptic number.

206808208440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206808208440 is an abundant number, since it is smaller than the sum of its proper divisors (413849142120).

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

206808208440 is a wasteful number, since it uses less digits than its factorization.

206808208440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646472 (or 646468 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 206808208440 in words is "two hundred six billion, eight hundred eight million, two hundred eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2677 5354 8031 10708 13385 16062 21416 26770 32124 40155 53540 64248 80310 107080 160620 321240 643781 1287562 1931343 2575124 3218905 3862686 5150248 6437810 7725372 9656715 12875620 15450744 19313430 25751240 38626860 77253720 1723401737 3446803474 5170205211 6893606948 8617008685 10340410422 13787213896 17234017370 20680820844 25851026055 34468034740 41361641688 51702052110 68936069480 103404104220 206808208440