Search a number
-
+
2117917368 = 23347466913
BaseRepresentation
bin111111000111100…
…1101101010111000
312110121020100110000
41332033031222320
513314141323433
6550054153000
7103325000130
oct17617155270
95417210400
102117917368
11997566736
124b1352760
13279a22358
141613d1ac0
15c5e06113
hex7e3cdab8

2117917368 has 80 divisors (see below), whose sum is σ = 6779591280. Its totient is φ = 605117952.

The previous prime is 2117917309. The next prime is 2117917411. The reversal of 2117917368 is 8637197112.

2117917368 is a `hidden beast` number, since 211 + 79 + 1 + 7 + 368 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 228921 + ... + 237992.

It is an arithmetic number, because the mean of its divisors is an integer number (84744891).

Almost surely, 22117917368 is an apocalyptic number.

2117917368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2117917368 is an abundant number, since it is smaller than the sum of its proper divisors (4661673912).

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

2117917368 is a wasteful number, since it uses less digits than its factorization.

2117917368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466938 (or 466925 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 2117917368 is about 46020.8362375131. The cubic root of 2117917368 is about 1284.2108571523.

The spelling of 2117917368 in words is "two billion, one hundred seventeen million, nine hundred seventeen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 466913 933826 1400739 1867652 2801478 3268391 3735304 4202217 5602956 6536782 8404434 9805173 11205912 12606651 13073564 16808868 19610346 25213302 26147128 29415519 33617736 37819953 39220692 50426604 58831038 75639906 78441384 88246557 100853208 117662076 151279812 176493114 235324152 264739671 302559624 352986228 529479342 705972456 1058958684 2117917368