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205100534440 = 23517379795827
BaseRepresentation
bin1011111100000011110…
…0011100101010101000
3201121101210211200101101
42333000330130222220
511330021214100230
6234115532131144
720550403530544
oct2770074345250
9647353750341
10205100534440
1179a899a521a
12338bb906ab4
1316457c4a8a9
149cd9672a24
155506138aca
hex2fc0f1caa8

205100534440 has 64 divisors (see below), whose sum is σ = 489911716800. Its totient is φ = 77010490368.

The previous prime is 205100534437. The next prime is 205100534459. The reversal of 205100534440 is 44435001502.

205100534440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2051005344402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205100534399 and 205100534408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140194 + ... + 655633.

It is an arithmetic number, because the mean of its divisors is an integer number (7654870575).

Almost surely, 2205100534440 is an apocalyptic number.

205100534440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205100534440 is an abundant number, since it is smaller than the sum of its proper divisors (284811182360).

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

205100534440 is a wasteful number, since it uses less digits than its factorization.

205100534440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796234 (or 796230 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 205100534440 its reverse (44435001502), we get a palindrome (249535535942).

The spelling of 205100534440 in words is "two hundred five billion, one hundred million, five hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 379 680 758 1516 1895 3032 3790 6443 7580 12886 15160 25772 32215 51544 64430 128860 257720 795827 1591654 3183308 3979135 6366616 7958270 13529059 15916540 27058118 31833080 54116236 67645295 108232472 135290590 270581180 301618433 541162360 603236866 1206473732 1508092165 2412947464 3016184330 5127513361 6032368660 10255026722 12064737320 20510053444 25637566805 41020106888 51275133610 102550267220 205100534440