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8130330318 = 23111915714127
BaseRepresentation
bin1111001001001101…
…01111111011001110
3202222121122120111010
413210212233323032
5113122331032233
63422433110050
7405322444635
oct74446577316
922877576433
108130330318
1134a23a5560
1216aa9b8326
139c7546056
14571b1251c
15328b91b63
hex1e49afece

8130330318 has 64 divisors (see below), whose sum is σ = 18688942080. Its totient is φ = 2332015200.

The previous prime is 8130330311. The next prime is 8130330319.

8130330318 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×81303303182 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8130330311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1967971 + ... + 1972097.

It is an arithmetic number, because the mean of its divisors is an integer number (292014720).

Almost surely, 28130330318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8130330318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9344471040).

8130330318 is an abundant number, since it is smaller than the sum of its proper divisors (10558611762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8130330318 is a wasteful number, since it uses less digits than its factorization.

8130330318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5733.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 8130330318 is about 90168.3443232712. The cubic root of 8130330318 is about 2010.8024087695.

The spelling of 8130330318 in words is "eight billion, one hundred thirty million, three hundred thirty thousand, three hundred eighteen".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 1571 3142 4127 4713 8254 9426 12381 17281 24762 29849 34562 45397 51843 59698 78413 89547 90794 103686 136191 156826 179094 235239 272382 328339 470478 656678 862543 985017 1725086 1970034 2587629 5175258 6483517 12967034 19450551 38901102 71318687 123186823 142637374 213956061 246373646 369560469 427912122 739120938 1355055053 2710110106 4065165159 8130330318