Search a number
-
+
2117387859 = 31741517409
BaseRepresentation
bin111111000110100…
…1100011001010011
312110120020110002120
41332031030121103
513314022402414
6550034545323
7103320333306
oct17615143123
95416213076
102117387859
11997234924
124b1138243
13279898332
141612d4b3d
15c5d4e2a9
hex7e34c653

2117387859 has 8 divisors (see below), whose sum is σ = 2989253520. Its totient is φ = 1328557056.

The previous prime is 2117387837. The next prime is 2117387861. The reversal of 2117387859 is 9587837112.

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

It is not a de Polignac number, because 2117387859 - 25 = 2117387827 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51), and also a Moran number because the ratio is a prime number: 41517409 = 2117387859 / (2 + 1 + 1 + 7 + 3 + 8 + 7 + 8 + 5 + 9).

It is not an unprimeable number, because it can be changed into a prime (2117387819) 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 7 ways as a sum of consecutive naturals, for example, 20758654 + ... + 20758755.

It is an arithmetic number, because the mean of its divisors is an integer number (373656690).

Almost surely, 22117387859 is an apocalyptic number.

2117387859 is a deficient number, since it is larger than the sum of its proper divisors (871865661).

2117387859 is a wasteful number, since it uses less digits than its factorization.

2117387859 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41517429.

The product of its digits is 846720, while the sum is 51.

The square root of 2117387859 is about 46015.0829511368. The cubic root of 2117387859 is about 1284.1038246661.

The spelling of 2117387859 in words is "two billion, one hundred seventeen million, three hundred eighty-seven thousand, eight hundred fifty-nine".

Divisors: 1 3 17 51 41517409 124552227 705795953 2117387859