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205493865048 = 23328932068331
BaseRepresentation
bin1011111101100001100…
…0111000101001011000
3201122102012221221112200
42333120120320221120
511331322412140143
6234222542410200
720563221014163
oct2773030705130
9648365857480
10205493865048
117a170a2533a
12339ab590960
13164bb5955b4
149d359bcada
15552a9311d3
hex2fd8638a58

205493865048 has 48 divisors (see below), whose sum is σ = 562799226600. Its totient is φ = 67728312960.

The previous prime is 205493865043. The next prime is 205493865133. The reversal of 205493865048 is 840568394502.

205493865048 is a `hidden beast` number, since 2 + 0 + 54 + 9 + 3 + 86 + 504 + 8 = 666.

205493865048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 205493864985 and 205493865003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205493865041) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16027758 + ... + 16040573.

Almost surely, 2205493865048 is an apocalyptic number.

It is an amenable number.

205493865048 is an abundant number, since it is smaller than the sum of its proper divisors (357305361552).

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

205493865048 is a wasteful number, since it uses less digits than its factorization.

205493865048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32068432 (or 32068425 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 205493865048 in words is "two hundred five billion, four hundred ninety-three million, eight hundred sixty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 6408 32068331 64136662 96204993 128273324 192409986 256546648 288614979 384819972 577229958 769639944 1154459916 2308919832 2854081459 5708162918 8562244377 11416325836 17124488754 22832651672 25686733131 34248977508 51373466262 68497955016 102746932524 205493865048