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7113993117 = 372116137177
BaseRepresentation
bin1101010000000011…
…01110101110011101
3200100210020021221120
412220001232232131
5104032140234432
63133525321153
7341201641500
oct65001565635
920323207846
107113993117
113020733360
1214665661b9
13894b089aa
144b6b51137
152b9834c2c
hex1a806eb9d

7113993117 has 48 divisors (see below), whose sum is σ = 12058350912. Its totient is φ = 3689038080.

The previous prime is 7113993113. The next prime is 7113993149.

7113993117 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7113993117 - 22 = 7113993113 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7113993113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987633 + ... + 994809.

It is an arithmetic number, because the mean of its divisors is an integer number (251215644).

Almost surely, 27113993117 is an apocalyptic number.

7113993117 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

7113993117 is a deficient number, since it is larger than the sum of its proper divisors (4944357795).

7113993117 is a wasteful number, since it uses less digits than its factorization.

7113993117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7818 (or 7811 counting only the distinct ones).

The product of its digits is 35721, while the sum is 42.

The square root of 7113993117 is about 84344.4907329459. The cubic root of 7113993117 is about 1923.2591777236.

The spelling of 7113993117 in words is "seven billion, one hundred thirteen million, nine hundred ninety-three thousand, one hundred seventeen".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 613 1617 1839 4291 6743 7177 12873 20229 21531 30037 47201 50239 78947 90111 141603 150717 236841 330407 351673 552629 991221 1055019 1657887 3868403 4399501 11605209 13198503 30796507 48394511 92389521 145183533 215575549 338761577 646726647 1016284731 2371331039 7113993117