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2117116673 = 72313149793
BaseRepresentation
bin111111000110000…
…1010001100000001
312110112201200002122
41332030022030001
513313440213143
6550025054025
7103315123550
oct17614121401
95415650078
102117116673
1199706a101
124b1027315
13279801a79
14161263d97
15c5ce8c68
hex7e30a301

2117116673 has 8 divisors (see below), whose sum is σ = 2524760448. Its totient is φ = 1735772544.

The previous prime is 2117116657. The next prime is 2117116681. The reversal of 2117116673 is 3766117112.

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

It is a cyclic number.

It is not a de Polignac number, because 2117116673 - 24 = 2117116657 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2117116613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6574736 + ... + 6575057.

It is an arithmetic number, because the mean of its divisors is an integer number (315595056).

Almost surely, 22117116673 is an apocalyptic number.

2117116673 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2117116673 is a deficient number, since it is larger than the sum of its proper divisors (407643775).

2117116673 is a wasteful number, since it uses less digits than its factorization.

2117116673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13149823.

The product of its digits is 10584, while the sum is 35.

The square root of 2117116673 is about 46012.1361490640. The cubic root of 2117116673 is about 1284.0490014797.

The spelling of 2117116673 in words is "two billion, one hundred seventeen million, one hundred sixteen thousand, six hundred seventy-three".

Divisors: 1 7 23 161 13149793 92048551 302445239 2117116673