Search a number
-
+
11016302848 = 282931151317
BaseRepresentation
bin10100100001001111…
…10111000100000000
31001102202010011112121
422100213313010000
5140030133142343
65021045334024
7536665013005
oct122047670400
931382104477
1011016302848
114743463421
122175407314
131067414cc5
147671158ac
1544720eaed
hex2909f7100

11016302848 has 144 divisors (see below), whose sum is σ = 23711708160. Its totient is φ = 5096448000.

The previous prime is 11016302837. The next prime is 11016302867. The reversal of 11016302848 is 84820361011.

It is a super-2 number, since 2×110163028482 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34751586 + ... + 34751902.

It is an arithmetic number, because the mean of its divisors is an integer number (164664640).

Almost surely, 211016302848 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 11016302848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11855854080).

11016302848 is an abundant number, since it is smaller than the sum of its proper divisors (12695405312).

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

11016302848 is a wasteful number, since it uses less digits than its factorization.

11016302848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

Adding to 11016302848 its reverse (84820361011), we get a palindrome (95836663859).

The spelling of 11016302848 in words is "eleven billion, sixteen million, three hundred two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 128 151 232 248 256 302 317 464 496 604 634 899 928 992 1208 1268 1798 1856 1984 2416 2536 3596 3712 3968 4379 4681 4832 5072 7192 7424 7936 8758 9193 9362 9664 9827 10144 14384 17516 18386 18724 19328 19654 20288 28768 35032 36772 37448 38656 39308 40576 47867 57536 70064 73544 74896 78616 81152 95734 115072 135749 140128 147088 149792 157232 191468 230144 271498 280256 284983 294176 299584 314464 382936 542996 560512 569966 588352 599168 628928 765872 1085992 1121024 1139932 1176704 1198336 1257856 1388143 1483877 1531744 2171984 2279864 2353408 2515712 2776286 2967754 3063488 4343968 4559728 5552572 5935508 6126976 8687936 9119456 11105144 11871016 12253952 17375872 18238912 22210288 23742032 34751744 36477824 43032433 44420576 47484064 72955648 86064866 88841152 94968128 172129732 177682304 189936256 344259464 355364608 379872512 688518928 1377037856 2754075712 5508151424 11016302848