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117874802241 = 3272163492
BaseRepresentation
bin110110111000111100…
…0101011111001000001
3102021020220020101020100
41231301320223321001
53412401422132431
6130052334033013
711342022200400
oct1556170537101
9367226211210
10117874802241
1145a99286639
121aa18048769
13b166b162c1
1459c2dbb637
1530ed6124e6
hex1b71e2be41

117874802241 has 27 divisors (see below), whose sum is σ = 198073857891. Its totient is φ = 67352909904.

The previous prime is 117874802231. The next prime is 117874802251. The reversal of 117874802241 is 142208478711.

The square root of 117874802241 is 343329.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (117874802231) and next prime (117874802251).

It can be written as a sum of positive squares in only one way, i.e., 18914225841 + 98960576400 = 137529^2 + 314580^2 .

It is not a de Polignac number, because 117874802241 - 25 = 117874802209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (117874802231) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7201735 + ... + 7218083.

Almost surely, 2117874802241 is an apocalyptic number.

117874802241 is the 343329-th square number.

117874802241 is the 171665-th centered octagonal number.

It is an amenable number.

117874802241 is a deficient number, since it is larger than the sum of its proper divisors (80199055650).

117874802241 is an frugal number, since it uses more digits than its factorization.

117874802241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32718 (or 16359 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 117874802241 in words is "one hundred seventeen billion, eight hundred seventy-four million, eight hundred two thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 16349 49047 114443 147141 343329 801101 1029987 2403303 7209909 267289801 801869403 1871028607 2405608209 5613085821 13097200249 16839257463 39291600747 117874802241