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5759440047 = 321773515663
BaseRepresentation
bin1010101110100101…
…00001010010101111
3112212101101212110100
411113102201102233
543243404040142
62351300442143
7262503301254
oct52722412257
915771355410
105759440047
112496065609
1211489a9353
1370a2b00ba
143c8cad42b
1523a96ab4c
hex1574a14af

5759440047 has 24 divisors (see below), whose sum is σ = 8929237824. Its totient is φ = 3564255744.

The previous prime is 5759440039. The next prime is 5759440061. The reversal of 5759440047 is 7400449575.

5759440047 is a `hidden beast` number, since 57 + 594 + 4 + 0 + 0 + 4 + 7 = 666.

It is not a de Polignac number, because 5759440047 - 23 = 5759440039 is a prime.

It is a super-2 number, since 2×57594400472 = 66342299309974724418, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5759439984 and 5759440011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5759440067) 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 23 ways as a sum of consecutive naturals, for example, 246663 + ... + 269000.

It is an arithmetic number, because the mean of its divisors is an integer number (372051576).

Almost surely, 25759440047 is an apocalyptic number.

5759440047 is a deficient number, since it is larger than the sum of its proper divisors (3169797777).

5759440047 is a wasteful number, since it uses less digits than its factorization.

5759440047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515759 (or 515756 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 5759440047 is about 75890.9747400836. The cubic root of 5759440047 is about 1792.5038093323.

The spelling of 5759440047 in words is "five billion, seven hundred fifty-nine million, four hundred forty thousand, forty-seven".

Divisors: 1 3 9 17 51 73 153 219 657 1241 3723 11169 515663 1546989 4640967 8766271 26298813 37643399 78896439 112930197 338790591 639937783 1919813349 5759440047