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2688525313 = 31216371709
BaseRepresentation
bin1010000000111111…
…1010010000000001
320221100221020101121
42200033322100001
521001230302223
61122440232241
7123424042135
oct24017722001
96840836347
102688525313
11115a669951
1263046b681
1333acc98a6
141b70c73c5
1510b06a15d
hexa03fa401

2688525313 has 12 divisors (see below), whose sum is σ = 2781373140. Its totient is φ = 2598687840.

The previous prime is 2688525247. The next prime is 2688525317. The reversal of 2688525313 is 3135258862.

It can be written as a sum of positive squares in 2 ways, for example, as 252905409 + 2435619904 = 15903^2 + 49352^2 .

It is not a de Polignac number, because 2688525313 - 213 = 2688517121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2688525313.

It is not an unprimeable number, because it can be changed into a prime (2688525317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1572303 + ... + 1574011.

It is an arithmetic number, because the mean of its divisors is an integer number (231781095).

Almost surely, 22688525313 is an apocalyptic number.

It is an amenable number.

2688525313 is a deficient number, since it is larger than the sum of its proper divisors (92847827).

2688525313 is a wasteful number, since it uses less digits than its factorization.

2688525313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3377 counting only the distinct ones).

The product of its digits is 345600, while the sum is 43.

The square root of 2688525313 is about 51850.9914370015. The cubic root of 2688525313 is about 1390.5012275501.

The spelling of 2688525313 in words is "two billion, six hundred eighty-eight million, five hundred twenty-five thousand, three hundred thirteen".

Divisors: 1 31 961 1637 1709 50747 52979 1573157 1642349 2797633 86726623 2688525313