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2117408917 = 131571037437
BaseRepresentation
bin111111000110101…
…0001100010010101
312110120021111222111
41332031101202111
513314024041132
6550035231021
7103320451561
oct17615214225
95416244874
102117408917
11997249728
124b1148471
132798a4ab0
141612dc6a1
15c5d55647
hex7e351895

2117408917 has 8 divisors (see below), whose sum is σ = 2294812856. Its totient is φ = 1942080192.

The previous prime is 2117408899. The next prime is 2117408927. The reversal of 2117408917 is 7198047112.

It can be written as a sum of positive squares in 4 ways, for example, as 92948881 + 2024460036 = 9641^2 + 44994^2 .

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

It is not a de Polignac number, because 2117408917 - 219 = 2116884629 is a prime.

It is a super-2 number, since 2×21174089172 = 8966841043582225778, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2117408917.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117408927) 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, 516678 + ... + 520759.

It is an arithmetic number, because the mean of its divisors is an integer number (286851607).

Almost surely, 22117408917 is an apocalyptic number.

It is an amenable number.

2117408917 is a deficient number, since it is larger than the sum of its proper divisors (177403939).

2117408917 is a wasteful number, since it uses less digits than its factorization.

2117408917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037607.

The product of its (nonzero) digits is 28224, while the sum is 40.

The square root of 2117408917 is about 46015.3117668456. The cubic root of 2117408917 is about 1284.1080815729.

The spelling of 2117408917 in words is "two billion, one hundred seventeen million, four hundred eight thousand, nine hundred seventeen".

Divisors: 1 13 157 2041 1037437 13486681 162877609 2117408917