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5705115075 = 32521119711701
BaseRepresentation
bin1010101000000110…
…10010010111000011
3112201121011212121100
411110003102113003
543141002140300
62342040225443
7261243451362
oct52403222703
915647155540
105705115075
112468430440
12113276b283
136cbc6c24a
143c19ab7d9
15235cd9700
hex1540d25c3

5705115075 has 72 divisors (see below), whose sum is σ = 11204992656. Its totient is φ = 2751840000.

The previous prime is 5705115071. The next prime is 5705115083.

5705115075 is a `hidden beast` number, since 5 + 70 + 511 + 5 + 0 + 75 = 666.

5705115075 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5705115075 - 22 = 5705115071 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5705115071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 481725 + ... + 493425.

It is an arithmetic number, because the mean of its divisors is an integer number (155624898).

Almost surely, 25705115075 is an apocalyptic number.

5705115075 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5705115075 is a deficient number, since it is larger than the sum of its proper divisors (5499877581).

5705115075 is a wasteful number, since it uses less digits than its factorization.

5705115075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11925 (or 11917 counting only the distinct ones).

The product of its (nonzero) digits is 30625, while the sum is 36.

The square root of 5705115075 is about 75532.2121680545. The cubic root of 5705115075 is about 1786.8501636405.

The spelling of 5705115075 in words is "five billion, seven hundred five million, one hundred fifteen thousand, seventy-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 197 225 275 495 591 825 985 1773 2167 2475 2955 4925 6501 8865 10835 11701 14775 19503 32505 35103 44325 54175 58505 97515 105309 128711 162525 175515 292525 386133 487575 526545 643555 877575 1158399 1930665 2305097 2632725 3217775 5791995 6915291 9653325 11525485 20745873 25356067 28959975 34576455 57627425 76068201 103729365 126780335 172882275 228204603 380341005 518646825 633901675 1141023015 1901705025 5705115075