Search a number
-
+
11050818000 = 2435319315359
BaseRepresentation
bin10100100101010111…
…00001100111010000
31001112011001201102120
422102223201213100
5140113002134000
65024321214240
7540564255165
oct122253414720
931464051376
1011050818000
114760998142
122184a91380
13107160b181
1476b93c06c
1544a27b6a0
hex292ae19d0

11050818000 has 640 divisors, whose sum is σ = 40111718400. Its totient is φ = 2605824000.

The previous prime is 11050817993. The next prime is 11050818001. The reversal of 11050818000 is 81805011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11050818001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 187301971 + ... + 187302029.

It is an arithmetic number, because the mean of its divisors is an integer number (62674560).

Almost surely, 211050818000 is an apocalyptic number.

11050818000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11050818000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20055859200).

11050818000 is an abundant number, since it is smaller than the sum of its proper divisors (29060900400).

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

11050818000 is a wasteful number, since it uses less digits than its factorization.

11050818000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 24.

The spelling of 11050818000 in words is "eleven billion, fifty million, eight hundred eighteen thousand".