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5760085317 = 372231229999
BaseRepresentation
bin1010101110101001…
…11110110101000101
3112212102121122121020
411113110332311011
543244040212232
62351322341353
7262511626440
oct52724766505
915772548536
105760085317
112496466398
12114905a859
1370a477a0c
143c8dda657
1523aa46e2c
hex15753ed45

5760085317 has 16 divisors (see below), whose sum is σ = 8816640000. Its totient is φ = 3276714672.

The previous prime is 5760085313. The next prime is 5760085439. The reversal of 5760085317 is 7135800675.

It is not a de Polignac number, because 5760085317 - 22 = 5760085313 is a prime.

It is a super-3 number, since 3×57600853173 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5760085313) 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, 610317 + ... + 619682.

It is an arithmetic number, because the mean of its divisors is an integer number (551040000).

Almost surely, 25760085317 is an apocalyptic number.

It is an amenable number.

5760085317 is a deficient number, since it is larger than the sum of its proper divisors (3056554683).

5760085317 is a wasteful number, since it uses less digits than its factorization.

5760085317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230232.

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 5760085317 is about 75895.2259170496. The cubic root of 5760085317 is about 1792.5707490423.

The spelling of 5760085317 in words is "five billion, seven hundred sixty million, eighty-five thousand, three hundred seventeen".

Divisors: 1 3 7 21 223 669 1561 4683 1229999 3689997 8609993 25829979 274289777 822869331 1920028439 5760085317