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213718148291673 = 32106922213714613
BaseRepresentation
bin110000100110000000100010…
…010011111001110001011001
31001000201020220012211201112200
4300212000202103321301121
5211003024231430313143
62034312432324200413
763005424643001124
oct6046004223716131
91030636805751480
10213718148291673
11621083a30a98a3
121bb78013539109
1392336c5265c4c
143aac02933d3bb
1519a9475bca1d3
hexc260224f9c59

213718148291673 has 12 divisors (see below), whose sum is σ = 308992770280740. Its totient is φ = 142345483233696.

The previous prime is 213718148291623. The next prime is 213718148291707. The reversal of 213718148291673 is 376192841817312.

213718148291673 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 1 + 8 + 1 + 482 + 91 + 67 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 142301231864064 + 71416916427609 = 11929008^2 + 8450853^2 .

It is not a de Polignac number, because 213718148291673 - 234 = 213700968422489 is a prime.

It is a super-2 number, since 2×2137181482916732 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213718148291673.

It is not an unprimeable number, because it can be changed into a prime (213718148291623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11106847686 + ... + 11106866927.

It is an arithmetic number, because the mean of its divisors is an integer number (25749397523395).

Almost surely, 2213718148291673 is an apocalyptic number.

It is an amenable number.

213718148291673 is a deficient number, since it is larger than the sum of its proper divisors (95274621989067).

213718148291673 is a wasteful number, since it uses less digits than its factorization.

213718148291673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22213715688 (or 22213715685 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 213718148291673 in words is "two hundred thirteen trillion, seven hundred eighteen billion, one hundred forty-eight million, two hundred ninety-one thousand, six hundred seventy-three".

Divisors: 1 3 9 1069 3207 9621 22213714613 66641143839 199923431517 23746460921297 71239382763891 213718148291673