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2585345807 = 11376352201
BaseRepresentation
bin1001101000011001…
…0011111100001111
320200011210011201102
42122012103330033
520243322031212
61104312533315
7121032035222
oct23206237417
96604704642
102585345807
1111073a6630
126019b123b
13322811b25
141a75095b9
15101e885c2
hex9a193f0f

2585345807 has 8 divisors (see below), whose sum is σ = 2896604112. Its totient is φ = 2286792000.

The previous prime is 2585345773. The next prime is 2585345837. The reversal of 2585345807 is 7085435852.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2585345807 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585345837) 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 7 ways as a sum of consecutive naturals, for example, 3175694 + ... + 3176507.

It is an arithmetic number, because the mean of its divisors is an integer number (362075514).

Almost surely, 22585345807 is an apocalyptic number.

2585345807 is a deficient number, since it is larger than the sum of its proper divisors (311258305).

2585345807 is a wasteful number, since it uses less digits than its factorization.

2585345807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6352249.

The product of its (nonzero) digits is 1344000, while the sum is 47.

The square root of 2585345807 is about 50846.2959024549. The cubic root of 2585345807 is about 1372.4805976888.

The spelling of 2585345807 in words is "two billion, five hundred eighty-five million, three hundred forty-five thousand, eight hundred seven".

Divisors: 1 11 37 407 6352201 69874211 235031437 2585345807