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7782127313 = 137212926681
BaseRepresentation
bin1110011111101100…
…11101011011010001
3202002100110000202112
413033312131123101
5111414211033223
63324113555105
7363563663552
oct71766353321
922070400675
107782127313
113333898484
121612275a95
1397036ba7c
1453b792329
15308310778
hex1cfd9d6d1

7782127313 has 8 divisors (see below), whose sum is σ = 7842907080. Its totient is φ = 7721405440.

The previous prime is 7782127261. The next prime is 7782127321. The reversal of 7782127313 is 3137212877.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 50794129 + 7731333184 = 7127^2 + 87928^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-7782127313 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7782127333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278333 + ... + 305013.

It is an arithmetic number, because the mean of its divisors is an integer number (980363385).

Almost surely, 27782127313 is an apocalyptic number.

It is an amenable number.

7782127313 is a deficient number, since it is larger than the sum of its proper divisors (60779767).

7782127313 is a wasteful number, since it uses less digits than its factorization.

7782127313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28947.

The product of its digits is 98784, while the sum is 41.

The square root of 7782127313 is about 88216.3664690402. The cubic root of 7782127313 is about 1981.6765815893.

The spelling of 7782127313 in words is "seven billion, seven hundred eighty-two million, one hundred twenty-seven thousand, three hundred thirteen".

Divisors: 1 137 2129 26681 291673 3655297 56803849 7782127313