Search a number
-
+
11552163140032 = 263128512042323
BaseRepresentation
bin1010100000011011001010…
…0101001001000111000000
31111220101011010000110110021
42220012302211021013000
53003232312230440112
640322553535543224
72301421241345314
oct250066245110700
944811133013407
1011552163140032
113754276a23599
121366a7808ab14
1365a497508958
142bd1b04cdb44
15150771a1c907
hexa81b29491c0

11552163140032 has 56 divisors (see below), whose sum is σ = 23671613507072. Its totient is φ = 5587792992000.

The previous prime is 11552163140009. The next prime is 11552163140071. The reversal of 11552163140032 is 23004136125511.

It is a super-2 number, since 2×115521631400322 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11552163140032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4635223 + ... + 6677545.

Almost surely, 211552163140032 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 11552163140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11835806753536).

11552163140032 is an abundant number, since it is smaller than the sum of its proper divisors (12119450367040).

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

11552163140032 is a wasteful number, since it uses less digits than its factorization.

11552163140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045217 (or 2045207 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

Adding to 11552163140032 its reverse (23004136125511), we get a palindrome (34556299265543).

The spelling of 11552163140032 in words is "eleven trillion, five hundred fifty-two billion, one hundred sixty-three million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1984 2851 5702 11404 22808 45616 88381 91232 176762 182464 353524 707048 1414096 2042323 2828192 4084646 5656384 8169292 16338584 32677168 63312013 65354336 126624026 130708672 253248052 506496104 1012992208 2025984416 4051968832 5822662873 11645325746 23290651492 46581302984 93162605968 180502549063 186325211936 361005098126 372650423872 722010196252 1444020392504 2888040785008 5776081570016 11552163140032