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2542114013 = 15767723917
BaseRepresentation
bin1001011110000101…
…1001010011011101
320120011102202211212
42113201121103131
520201240122023
61100130154205
7116665420055
oct22741312335
96504382755
102542114013
111094a5897a
125ab422965
1331688629a
141a1894565
15ed298e78
hex978594dd

2542114013 has 8 divisors (see below), whose sum is σ = 2562191832. Its totient is φ = 2522085696.

The previous prime is 2542114009. The next prime is 2542114037. The reversal of 2542114013 is 3104112452.

It can be written as a sum of positive squares in 4 ways, for example, as 1047363769 + 1494750244 = 32363^2 + 38662^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2542114013 - 22 = 2542114009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2542114013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542114213) 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, 94331 + ... + 118247.

It is an arithmetic number, because the mean of its divisors is an integer number (320273979).

Almost surely, 22542114013 is an apocalyptic number.

It is an amenable number.

2542114013 is a deficient number, since it is larger than the sum of its proper divisors (20077819).

2542114013 is a wasteful number, since it uses less digits than its factorization.

2542114013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24751.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2542114013 is about 50419.3813230587. The cubic root of 2542114013 is about 1364.7874121379.

Adding to 2542114013 its reverse (3104112452), we get a palindrome (5646226465).

The spelling of 2542114013 in words is "two billion, five hundred forty-two million, one hundred fourteen thousand, thirteen".

Divisors: 1 157 677 23917 106289 3754969 16191809 2542114013