Search a number
-
+
216501006304330 = 2511137271451911731
BaseRepresentation
bin110001001110100000010001…
…100100110000010001001010
31001101120021221101011010120021
4301032200101210300101022
5211334123030103214310
62044243104513251054
763413452522551556
oct6116402144602112
91041507841133507
10216501006304330
1162a90619986590
1220347418b63a8a
1393a5c5a22b7b7
143b669c1674866
151a06a4c0c75da
hexc4e81193044a

216501006304330 has 128 divisors (see below), whose sum is σ = 429944334704640. Its totient is φ = 77840730432000.

The previous prime is 216501006304273. The next prime is 216501006304333. The reversal of 216501006304330 is 33403600105612.

It is not an unprimeable number, because it can be changed into a prime (216501006304333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18455454565 + ... + 18455466295.

It is an arithmetic number, because the mean of its divisors is an integer number (3358940114880).

Almost surely, 2216501006304330 is an apocalyptic number.

216501006304330 is a deficient number, since it is larger than the sum of its proper divisors (213443328400310).

216501006304330 is a wasteful number, since it uses less digits than its factorization.

216501006304330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16676.

The product of its (nonzero) digits is 38880, while the sum is 34.

Adding to 216501006304330 its reverse (33403600105612), we get a palindrome (249904606409942).

The spelling of 216501006304330 in words is "two hundred sixteen trillion, five hundred one billion, six million, three hundred four thousand, three hundred thirty".

Divisors: 1 2 5 10 11 22 55 110 137 271 274 542 685 1355 1370 1507 2710 2981 3014 4519 5962 7535 9038 11731 14905 15070 22595 23462 29810 37127 45190 49709 58655 74254 99418 117310 129041 185635 248545 258082 371270 408397 497090 619103 645205 816794 1224649 1238206 1290410 1607147 2041985 2449298 3095515 3179101 3214294 4083970 6123245 6191030 6358202 6810133 8035735 12246490 13471139 13620266 15895505 16071470 17678617 26942278 31791010 34050665 34970111 35357234 53012389 67355695 68101330 69940222 88393085 106024778 134711390 167776913 174850555 176786170 265061945 335553826 349701110 435536837 530123890 583136279 838884565 871073674 1166272558 1677769130 1845546043 2177684185 2915681395 3691092086 4355368370 4790905207 5831362790 7262697293 9227730215 9581810414 14366357419 14525394586 18455460430 23954526035 28732714838 36313486465 47909052070 71831787095 72626972930 79889670223 143663574190 158029931609 159779340446 316059863218 399448351115 790149658045 798896702230 1580299316090 1968190966403 3936381932806 9840954832015 19681909664030 21650100630433 43300201260866 108250503152165 216501006304330