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5742456705 = 325127610149
BaseRepresentation
bin1010101100100011…
…01110111110000001
3112211012110000200200
411112101232332001
543230032103310
62345452435413
7262206035166
oct52621567601
915735400620
105742456705
112487515797
121143178b69
13706914a9b
143c692c06d
152392139c0
hex15646ef81

5742456705 has 12 divisors (see below), whose sum is σ = 9953591700. Its totient is φ = 3062643552.

The previous prime is 5742456689. The next prime is 5742456751. The reversal of 5742456705 is 5076542475.

5742456705 is a `hidden beast` number, since 574 + 2 + 4 + 5 + 6 + 70 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4519066176 + 1223390529 = 67224^2 + 34977^2 .

It is not a de Polignac number, because 5742456705 - 24 = 5742456689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 127610149 = 5742456705 / (5 + 7 + 4 + 2 + 4 + 5 + 6 + 7 + 0 + 5).

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 11 ways as a sum of consecutive naturals, for example, 63805030 + ... + 63805119.

It is an arithmetic number, because the mean of its divisors is an integer number (829465975).

Almost surely, 25742456705 is an apocalyptic number.

It is an amenable number.

5742456705 is a deficient number, since it is larger than the sum of its proper divisors (4211134995).

5742456705 is a wasteful number, since it uses less digits than its factorization.

5742456705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127610160 (or 127610157 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The square root of 5742456705 is about 75778.9991026538. Note that the first 3 decimals coincide. The cubic root of 5742456705 is about 1790.7401727588.

The spelling of 5742456705 in words is "five billion, seven hundred forty-two million, four hundred fifty-six thousand, seven hundred five".

Divisors: 1 3 5 9 15 45 127610149 382830447 638050745 1148491341 1914152235 5742456705