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2543257013 = 11234616073
BaseRepresentation
bin1001011110010111…
…0000010110110101
320120020120211202012
42113211300112311
520202033211023
61100210454005
7120011220323
oct22745602665
96506524665
102543257013
111095669700
125ab894305
13316b9660b
141a1ab0d13
15ed422978
hex979705b5

2543257013 has 12 divisors (see below), whose sum is σ = 2796749004. Its totient is φ = 2311003200.

The previous prime is 2543256971. The next prime is 2543257021. The reversal of 2543257013 is 3107523452.

It can be written as a sum of positive squares in 2 ways, for example, as 1463674564 + 1079582449 = 38258^2 + 32857^2 .

It is not a de Polignac number, because 2543257013 - 210 = 2543255989 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543257313) 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 11 ways as a sum of consecutive naturals, for example, 415745 + ... + 421817.

It is an arithmetic number, because the mean of its divisors is an integer number (233062417).

Almost surely, 22543257013 is an apocalyptic number.

It is an amenable number.

2543257013 is a deficient number, since it is larger than the sum of its proper divisors (253491991).

2543257013 is a wasteful number, since it uses less digits than its factorization.

2543257013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9556 (or 9545 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 2543257013 is about 50430.7149760937. The cubic root of 2543257013 is about 1364.9919293578.

The spelling of 2543257013 in words is "two billion, five hundred forty-three million, two hundred fifty-seven thousand, thirteen".

Divisors: 1 11 121 3461 6073 38071 66803 418781 734833 21018653 231205183 2543257013