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8080575705 = 325896920021
BaseRepresentation
bin1111000011010001…
…11100110011011001
3202212011000202222200
413201220330303121
5113022111410310
63413454440413
7404146521516
oct74150746331
922764022880
108080575705
113477302144
121696203109
139ba145557
1456928030d
153246149c0
hex1e1a3ccd9

8080575705 has 24 divisors (see below), whose sum is σ = 14008592520. Its totient is φ = 4308944640.

The previous prime is 8080575703. The next prime is 8080575707. The reversal of 8080575705 is 5075750808.

It is a happy number.

8080575705 is a `hidden beast` number, since 8 + 0 + 8 + 0 + 575 + 70 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (8080575703) and next prime (8080575707).

It can be written as a sum of positive squares in 4 ways, for example, as 18870336 + 8061705369 = 4344^2 + 89787^2 .

It is not a de Polignac number, because 8080575705 - 21 = 8080575703 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8080575703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393595 + ... + 413615.

It is an arithmetic number, because the mean of its divisors is an integer number (583691355).

Almost surely, 28080575705 is an apocalyptic number.

It is an amenable number.

8080575705 is a deficient number, since it is larger than the sum of its proper divisors (5928016815).

8080575705 is a wasteful number, since it uses less digits than its factorization.

8080575705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29001 (or 28998 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The square root of 8080575705 is about 89892.0224769696. The cubic root of 8080575705 is about 2006.6922241747.

The spelling of 8080575705 in words is "eight billion, eighty million, five hundred seventy-five thousand, seven hundred five".

Divisors: 1 3 5 9 15 45 8969 20021 26907 44845 60063 80721 100105 134535 180189 300315 403605 900945 179568349 538705047 897841745 1616115141 2693525235 8080575705