Search a number
-
+
2117323593 = 327116774513
BaseRepresentation
bin111111000110011…
…1100101101001001
312110120010011221100
41332030330231021
513314013323333
6550033332013
7103316645040
oct17614745511
95416104840
102117323593
119971a0610
124b1107009
13279874cc8
141612b9557
15c5d3a213
hex7e33cb49

2117323593 has 48 divisors (see below), whose sum is σ = 3819494016. Its totient is φ = 1098040320.

The previous prime is 2117323511. The next prime is 2117323613. The reversal of 2117323593 is 3953237112.

It is a happy number.

2117323593 is a `hidden beast` number, since 21 + 17 + 32 + 3 + 593 = 666.

It is not a de Polignac number, because 2117323593 - 214 = 2117307209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2117323193) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466905 + ... + 471417.

It is an arithmetic number, because the mean of its divisors is an integer number (79572792).

Almost surely, 22117323593 is an apocalyptic number.

It is an amenable number.

2117323593 is a deficient number, since it is larger than the sum of its proper divisors (1702170423).

2117323593 is a wasteful number, since it uses less digits than its factorization.

2117323593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5214 (or 5211 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 2117323593 is about 46014.3846313302. The cubic root of 2117323593 is about 1284.0908330215.

The spelling of 2117323593 in words is "two billion, one hundred seventeen million, three hundred twenty-three thousand, five hundred ninety-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 677 693 2031 4513 4739 6093 7447 13539 14217 22341 31591 40617 42651 49643 52129 67023 94773 148929 156387 284319 347501 446787 469161 1042503 3055301 3127509 9165903 21387107 27497709 33608311 64161321 100824933 192483963 235258177 302474799 705774531 2117323593