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216528237050385 = 351331170332102941
BaseRepresentation
bin110001001110111001101000…
…101001110011101000010001
31001101122220020010121100200110
4301032321220221303220101
5211340044312141103020
62044303410542511533
763415435365226011
oct6116715051635021
91041586203540613
10216528237050385
1162aa1122a32097
12203507585955a9
1393a86a99700a0
143b68045dbdc41
151a075e2a3b8e0
hexc4ee68a73a11

216528237050385 has 64 divisors (see below), whose sum is σ = 385152918829056. Its totient is φ = 103153749350400.

The previous prime is 216528237050347. The next prime is 216528237050413. The reversal of 216528237050385 is 583050732825612.

It is a happy number.

It is not a de Polignac number, because 216528237050385 - 210 = 216528237049361 is a prime.

It is an unprimeable number.

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, 101913015 + ... + 104015955.

It is an arithmetic number, because the mean of its divisors is an integer number (6018014356704).

Almost surely, 2216528237050385 is an apocalyptic number.

It is an amenable number.

216528237050385 is a deficient number, since it is larger than the sum of its proper divisors (168624681778671).

216528237050385 is a wasteful number, since it uses less digits than its factorization.

216528237050385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120026.

The product of its (nonzero) digits is 24192000, while the sum is 57.

Adding to 216528237050385 its reverse (583050732825612), we get a palindrome (799578969875997).

The spelling of 216528237050385 in words is "two hundred sixteen trillion, five hundred twenty-eight billion, two hundred thirty-seven million, fifty thousand, three hundred eighty-five".

Divisors: 1 3 5 13 15 31 39 65 93 155 195 403 465 1209 2015 6045 17033 51099 85165 221429 255495 528023 664287 1107145 1584069 2102941 2640115 3321435 6308823 6864299 7920345 10514705 20592897 27338233 31544115 34321495 65191171 82014699 102964485 136691165 195573513 325955855 410073495 847485223 977867565 2542455669 4237426115 12712278345 35819394053 107458182159 179096970265 465652122689 537290910795 1110401215643 1396956368067 2328260613445 3331203646929 5552006078215 6984781840335 14435215803359 16656018234645 43305647410077 72176079016795 216528237050385