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216363040313233 = 1123411011391485739
BaseRepresentation
bin110001001100011111110010…
…001010010000111110010001
31001101002002211021210121111011
4301030133302022100332101
5211324343001310010413
62044055450351250521
763400466560150432
oct6114376212207621
91041062737717434
10216363040313233
1162a38060758440
1220324734519a41
139395c40b90788
143b60054235489
151a03174c3533d
hexc4c7f2290f91

216363040313233 has 64 divisors (see below), whose sum is σ = 256633177651200. Its totient is φ = 180428022720000.

The previous prime is 216363040313129. The next prime is 216363040313237. The reversal of 216363040313233 is 332313040363612.

It is not a de Polignac number, because 216363040313233 - 233 = 216354450378641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (216363040313237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144883678 + ... + 146369416.

It is an arithmetic number, because the mean of its divisors is an integer number (4009893400800).

Almost surely, 2216363040313233 is an apocalyptic number.

216363040313233 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

216363040313233 is a deficient number, since it is larger than the sum of its proper divisors (40270137337967).

216363040313233 is a wasteful number, since it uses less digits than its factorization.

216363040313233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486054.

The product of its (nonzero) digits is 419904, while the sum is 40.

Adding to 216363040313233 its reverse (332313040363612), we get a palindrome (548676080676845).

The spelling of 216363040313233 in words is "two hundred sixteen trillion, three hundred sixty-three billion, forty million, three hundred thirteen thousand, two hundred thirty-three".

Divisors: 1 11 23 41 101 139 253 451 943 1111 1529 2323 3197 4141 5699 10373 14039 25553 35167 45551 62689 95243 131077 154429 322897 575599 1047673 1441847 1485739 3551867 6331589 13238777 16343129 34171997 60915299 145626547 150059639 206517721 375891967 670068289 1401051877 1650656029 2271694931 3451371697 4749907583 6152445199 8467226561 15411570647 20858289821 37965088667 52248983413 67676897189 93139492171 141506239577 194746210903 229441188031 479740665883 855189882661 1556568635347 2142208319933 5277147324713 9407088709271 19669367301203 216363040313233