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2427730513 = 131091713289
BaseRepresentation
bin1001000010110100…
…0011101001010001
320021012012111011221
42100231003221101
514432444334023
61040522405041
7114106240345
oct22055035121
96235174157
102427730513
11103643295a
12579060781
132c8c77940
141905db625
15e320285d
hex90b43a51

2427730513 has 8 divisors (see below), whose sum is σ = 2638466600. Its totient is φ = 2220421248.

The previous prime is 2427730511. The next prime is 2427730541. The reversal of 2427730513 is 3150377242.

It can be written as a sum of positive squares in 4 ways, for example, as 529 + 2427729984 = 23^2 + 49272^2 .

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 2427730513 - 21 = 2427730511 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2427730511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 855228 + ... + 858061.

It is an arithmetic number, because the mean of its divisors is an integer number (329808325).

Almost surely, 22427730513 is an apocalyptic number.

It is an amenable number.

2427730513 is a deficient number, since it is larger than the sum of its proper divisors (210736087).

2427730513 is a wasteful number, since it uses less digits than its factorization.

2427730513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713411.

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 2427730513 is about 49272.0053681601. The cubic root of 2427730513 is about 1344.0027549266.

The spelling of 2427730513 in words is "two billion, four hundred twenty-seven million, seven hundred thirty thousand, five hundred thirteen".

Divisors: 1 13 109 1417 1713289 22272757 186748501 2427730513