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5756116575 = 3521138318217
BaseRepresentation
bin1010101110001011…
…10101111001011111
3112212011011000111210
411113011311321133
543242031212300
62351101315503
7262433116656
oct52705657137
915764130453
105756116575
1124941a5640
121147865b93
137096b8451
143c868619d
1523a511050
hex157175e5f

5756116575 has 48 divisors (see below), whose sum is σ = 10409619456. Its totient is φ = 2783404800.

The previous prime is 5756116511. The next prime is 5756116627.

5756116575 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5756116575 - 26 = 5756116511 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306867 + ... + 325083.

It is an arithmetic number, because the mean of its divisors is an integer number (216867072).

Almost surely, 25756116575 is an apocalyptic number.

5756116575 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5756116575 is a deficient number, since it is larger than the sum of its proper divisors (4653502881).

5756116575 is a wasteful number, since it uses less digits than its factorization.

5756116575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18624 (or 18619 counting only the distinct ones).

The product of its digits is 1102500, while the sum is 48.

The square root of 5756116575 is about 75869.0752217265. The cubic root of 5756116575 is about 1792.1589562200.

The spelling of 5756116575 in words is "five billion, seven hundred fifty-six million, one hundred sixteen thousand, five hundred seventy-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 383 825 1149 1915 4213 5745 9575 12639 18217 21065 28725 54651 63195 91085 105325 200387 273255 315975 455425 601161 1001935 1366275 3005805 5009675 6977111 15029025 20931333 34885555 76748221 104656665 174427775 230244663 383741105 523283325 1151223315 1918705525 5756116575