Search a number
-
+
11568716504304 = 2431967617306853
BaseRepresentation
bin1010100001011000110100…
…1111001101110011110000
31111221221212202002111022220
42220112031033031303300
53004020212411114204
640334332304001040
72302545402541461
oct250261517156360
944857782074286
1011568716504304
1137602a0964133
12136a117900180
1365bc04b0c75b
142bdd00b48d68
15150ddedbd1d9
hexa858d3cdcf0

11568716504304 has 160 divisors (see below), whose sum is σ = 31980176590080. Its totient is φ = 3592907974656.

The previous prime is 11568716504291. The next prime is 11568716504311. The reversal of 11568716504304 is 40340561786511.

11568716504304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37547742 + ... + 37854594.

It is an arithmetic number, because the mean of its divisors is an integer number (199876103688).

Almost surely, 211568716504304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11568716504304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15990088295040).

11568716504304 is an abundant number, since it is smaller than the sum of its proper divisors (20411460085776).

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

11568716504304 is a wasteful number, since it uses less digits than its factorization.

11568716504304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307567 (or 307561 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 11568716504304 in words is "eleven trillion, five hundred sixty-eight billion, seven hundred sixteen million, five hundred four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 67 76 114 134 152 201 228 268 304 402 456 536 617 804 912 1072 1234 1273 1608 1851 2468 2546 3216 3702 3819 4936 5092 7404 7638 9872 10184 11723 14808 15276 20368 23446 29616 30552 35169 41339 46892 61104 70338 82678 93784 124017 140676 165356 187568 248034 281352 306853 330712 496068 562704 613706 661424 785441 920559 992136 1227412 1570882 1841118 1984272 2356323 2454824 3141764 3682236 4712646 4909648 5830207 6283528 7364472 9425292 11660414 12567056 14728944 17490621 18850584 20559151 23320828 34981242 37701168 41118302 46641656 61677453 69962484 82236604 93283312 123354906 139924968 164473208 189328301 246709812 279849936 328946416 378656602 390623869 493419624 567984903 757313204 781247738 986839248 1135969806 1171871607 1514626408 1562495476 2271939612 2343743214 3029252816 3124990952 3597237719 4543879224 4687486428 6249981904 7194475438 9087758448 9374972856 10791713157 12684996167 14388950876 18749945712 21583426314 25369992334 28777901752 38054988501 43166852628 50739984668 57555803504 76109977002 86333705256 101479969336 152219954004 172667410512 202959938672 241014927173 304439908008 482029854346 608879816016 723044781519 964059708692 1446089563038 1928119417384 2892179126076 3856238834768 5784358252152 11568716504304