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2586053057 = 72279718869
BaseRepresentation
bin1001101000100100…
…0000100111000001
320200020010002212212
42122021000213001
520244012144212
61104340031505
7121041042200
oct23211004701
96606102785
102586053057
111107839a35
12602092595
133229cba13
141a7651237
15102077e22
hex9a2409c1

2586053057 has 12 divisors (see below), whose sum is σ = 3009500820. Its totient is φ = 2215706976.

The previous prime is 2586053051. The next prime is 2586053059. The reversal of 2586053057 is 7503506852.

It can be written as a sum of positive squares in 2 ways, for example, as 2297189041 + 288864016 = 47929^2 + 16996^2 .

It is not a de Polignac number, because 2586053057 - 26 = 2586052993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2586053051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127619 + ... + 146487.

It is an arithmetic number, because the mean of its divisors is an integer number (250791735).

Almost surely, 22586053057 is an apocalyptic number.

It is an amenable number.

2586053057 is a deficient number, since it is larger than the sum of its proper divisors (423447763).

2586053057 is a wasteful number, since it uses less digits than its factorization.

2586053057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21680 (or 21673 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 41.

The square root of 2586053057 is about 50853.2502107781. The cubic root of 2586053057 is about 1372.6057387047.

The spelling of 2586053057 in words is "two billion, five hundred eighty-six million, fifty-three thousand, fifty-seven".

Divisors: 1 7 49 2797 18869 19579 132083 137053 924581 52776593 369436151 2586053057