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2637130609 = 8925772
BaseRepresentation
bin1001110100101111…
…0110101101110001
320210210020010010001
42131023312231301
520400101134414
61113402510001
7122231145301
oct23513665561
96723203101
102637130609
111133656293
12617205301
13330473719
141b0349601
151067b7074
hex9d2f6b71

2637130609 has 9 divisors (see below), whose sum is σ = 2671724577. Its totient is φ = 2602980864.

The previous prime is 2637130603. The next prime is 2637130651. The reversal of 2637130609 is 9060317362.

The square root of 2637130609 is 51353.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 345402225 + 2291728384 = 18585^2 + 47872^2 .

It is not a de Polignac number, because 2637130609 - 211 = 2637128561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2637130603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4570129 + ... + 4570705.

Almost surely, 22637130609 is an apocalyptic number.

2637130609 is the 51353-rd square number.

2637130609 is the 25677-th centered octagonal number.

It is an amenable number.

2637130609 is a deficient number, since it is larger than the sum of its proper divisors (34593968).

2637130609 is an frugal number, since it uses more digits than its factorization.

2637130609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The cubic root of 2637130609 is about 1381.5837395770.

The spelling of 2637130609 in words is "two billion, six hundred thirty-seven million, one hundred thirty thousand, six hundred nine".

Divisors: 1 89 577 7921 51353 332929 4570417 29630681 2637130609