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205789498993 = 1341794887299
BaseRepresentation
bin1011111110101000000…
…0101000111001110001
3201200011211020201002001
42333222000220321301
511332424102431433
6234312143054001
720603440610551
oct2775200507161
9650154221061
10205789498993
117a302897511
1233a725a1301
13165378c5020
149d62d77161
15554687b57d
hex2fea028e71

205789498993 has 16 divisors (see below), whose sum is σ = 229898592000. Its totient is φ = 182980437120.

The previous prime is 205789498979. The next prime is 205789499011. The reversal of 205789498993 is 399894987502.

205789498993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205789498993 - 25 = 205789498961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205789498963) 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 15 ways as a sum of consecutive naturals, for example, 2401543 + ... + 2485756.

It is an arithmetic number, because the mean of its divisors is an integer number (14368662000).

Almost surely, 2205789498993 is an apocalyptic number.

It is an amenable number.

205789498993 is a deficient number, since it is larger than the sum of its proper divisors (24109093007).

205789498993 is a wasteful number, since it uses less digits than its factorization.

205789498993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4887432.

The product of its (nonzero) digits is 352719360, while the sum is 73.

The spelling of 205789498993 in words is "two hundred five billion, seven hundred eighty-nine million, four hundred ninety-eight thousand, nine hundred ninety-three".

Divisors: 1 13 41 79 533 1027 3239 42107 4887299 63534887 200379259 386096621 2604930367 5019256073 15829961461 205789498993