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8427138313 = 11101151191263
BaseRepresentation
bin1111101100100101…
…11110110100001001
3210202022010222111211
413312102332310021
5114224321411223
63512114453121
7415555331236
oct76622766411
923668128454
108427138313
113634999820
1217722941a1
13a43b96c99
1459d2d478d
15344c6ed0d
hex1f64bed09

8427138313 has 32 divisors (see below), whose sum is σ = 9430401024. Its totient is φ = 7467000000.

The previous prime is 8427138311. The next prime is 8427138361. The reversal of 8427138313 is 3138317248.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 8427138313 - 21 = 8427138311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8427138311) 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 31 ways as a sum of consecutive naturals, for example, 32042220 + ... + 32042482.

It is an arithmetic number, because the mean of its divisors is an integer number (294700032).

Almost surely, 28427138313 is an apocalyptic number.

It is an amenable number.

8427138313 is a deficient number, since it is larger than the sum of its proper divisors (1003262711).

8427138313 is a wasteful number, since it uses less digits than its factorization.

8427138313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717.

The product of its digits is 96768, while the sum is 40.

The square root of 8427138313 is about 91799.4461475667. The cubic root of 8427138313 is about 2034.9795097213.

The spelling of 8427138313 in words is "eight billion, four hundred twenty-seven million, one hundred thirty-eight thousand, three hundred thirteen".

Divisors: 1 11 101 151 191 263 1111 1661 2101 2893 15251 19291 26563 28841 39713 50233 167761 212201 292193 317251 436843 552563 2912941 4011013 5073533 7585183 32042351 44121143 55808863 83437013 766103483 8427138313