Search a number
-
+
12564004841476 = 221149721512
BaseRepresentation
bin1011011011010100100100…
…0010111010100000000100
31122111002220002200122111021
42312311021002322200010
53121322040214411401
642415454003120524
72434501516036264
oct266651102724004
948432802618437
1012564004841476
114004401210000
1214aaba3973144
13701a1bbc2b0a
1431615b5097a4
1516bc42b862a1
hexb6d490ba804

12564004841476 has 135 divisors (see below), whose sum is σ = 24600374567685. Its totient is φ = 5614605216000.

The previous prime is 12564004841447. The next prime is 12564004841501. The reversal of 12564004841476 is 67414840046521.

It is a happy number.

The square root of 12564004841476 is 3544574.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5641717552900 + 6922287288576 = 2375230^2 + 2631024^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 83205330001 + ... + 83205330151.

Almost surely, 212564004841476 is an apocalyptic number.

12564004841476 is the 3544574-th square number.

It is an amenable number.

12564004841476 is a deficient number, since it is larger than the sum of its proper divisors (12036369726209).

12564004841476 is an frugal number, since it uses more digits than its factorization.

12564004841476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 52.

Adding to 12564004841476 its reverse (67414840046521), we get a palindrome (79978844887997).

The spelling of 12564004841476 in words is "twelve trillion, five hundred sixty-four billion, four million, eight hundred forty-one thousand, four hundred seventy-six".

Divisors: 1 2 4 11 22 44 97 121 151 194 242 302 388 484 604 1067 1331 1661 2134 2662 3322 4268 5324 6644 9409 11737 14641 14647 18271 18818 22801 23474 29282 29294 36542 37636 45602 46948 58564 58588 73084 91204 103499 129107 161117 200981 206998 250811 258214 322234 401962 413996 501622 516428 644468 803924 1003244 1138489 1420177 1420759 1772287 2210791 2211697 2276978 2758921 2840354 2841518 3544574 4421582 4423394 4553956 5517842 5680708 5683036 7089148 8843164 8846788 11035684 12523379 15628349 19495157 24328667 25046758 30348131 31256698 38990314 48657334 50093516 60696262 62513396 77980628 97314668 121392524 137757169 171911839 214446727 214534609 267615337 275514338 333829441 343823678 428893454 429069218 535230674 551028676 667658882 687647356 857786908 858138436 1070461348 1335317764 1891030229 2359880699 2943768707 3782060458 4719761398 5887537414 7564120916 9439522796 11775074828 20801332519 25958687689 32381455777 41602665038 51917375378 64762911554 83205330076 103834750756 129525823108 285545564579 571091129158 1142182258316 3141001210369 6282002420738 12564004841476