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2641146013 = 11287724889
BaseRepresentation
bin1001110101101100…
…1011000010011101
320211001210010012201
42131123023002131
520402113133023
61114024531501
7122310241102
oct23533130235
96731703181
102641146013
111135949100
12618620b91
1333124b2bc
141b0ab2aa9
15106d0bbad
hex9d6cb09d

2641146013 has 12 divisors (see below), whose sum is σ = 2906504860. Its totient is φ = 2398207680.

The previous prime is 2641146007. The next prime is 2641146023. The reversal of 2641146013 is 3106411462.

It can be written as a sum of positive squares in 2 ways, for example, as 873616249 + 1767529764 = 29557^2 + 42042^2 .

It is a de Polignac number, because none of the positive numbers 2k-2641146013 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 (2641146023) 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, 93673 + ... + 118561.

Almost surely, 22641146013 is an apocalyptic number.

It is an amenable number.

2641146013 is a deficient number, since it is larger than the sum of its proper divisors (265358847).

2641146013 is a wasteful number, since it uses less digits than its factorization.

2641146013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25788 (or 25777 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2641146013 is about 51392.0812285317. The cubic root of 2641146013 is about 1382.2846028003.

Adding to 2641146013 its reverse (3106411462), we get a palindrome (5747557475).

The spelling of 2641146013 in words is "two billion, six hundred forty-one million, one hundred forty-six thousand, thirteen".

Divisors: 1 11 121 877 9647 24889 106117 273779 3011569 21827653 240104183 2641146013