Search a number
-
+
2117149086 = 231327142937
BaseRepresentation
bin111111000110001…
…0010000110011110
312110112210022120010
41332030102012132
513313442232321
6550025504050
7103315320213
oct17614220636
95415708503
102117149086
11997091498
124b1042026
13279813750
14161271b0a
15c5d03676
hex7e31219e

2117149086 has 16 divisors (see below), whose sum is σ = 4560013584. Its totient is φ = 651430464.

The previous prime is 2117149079. The next prime is 2117149087. The reversal of 2117149086 is 6809417112.

2117149086 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117149087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13571391 + ... + 13571546.

It is an arithmetic number, because the mean of its divisors is an integer number (285000849).

Almost surely, 22117149086 is an apocalyptic number.

2117149086 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2117149086 is an abundant number, since it is smaller than the sum of its proper divisors (2442864498).

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

2117149086 is a wasteful number, since it uses less digits than its factorization.

2117149086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27142955.

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 2117149086 is about 46012.4883700067. The cubic root of 2117149086 is about 1284.0555543650.

The spelling of 2117149086 in words is "two billion, one hundred seventeen million, one hundred forty-nine thousand, eighty-six".

Divisors: 1 2 3 6 13 26 39 78 27142937 54285874 81428811 162857622 352858181 705716362 1058574543 2117149086