Search a number
-
+
11445466000 = 24535722733
BaseRepresentation
bin10101010100011001…
…11111001110010000
31002112122122220201011
422222030333032100
5141420014403000
65131420020304
7553425566353
oct125214771620
932478586634
1011445466000
114943738011
122275091694
1311052c76b7
147a810c29a
1546ec342ba
hex2aa33f390

11445466000 has 40 divisors (see below), whose sum is σ = 27675141624. Its totient is φ = 4578185600.

The previous prime is 11445465953. The next prime is 11445466009. The reversal of 11445466000 is 66454411.

11445466000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 147476736 + 11297989264 = 12144^2 + 106292^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (11445466009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2859367 + ... + 2863366.

Almost surely, 211445466000 is an apocalyptic number.

11445466000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11445466000 is an abundant number, since it is smaller than the sum of its proper divisors (16229675624).

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

11445466000 is an equidigital number, since it uses as much as digits as its factorization.

11445466000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722756 (or 5722740 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 11445466000 in words is "eleven billion, four hundred forty-five million, four hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 5722733 11445466 22890932 28613665 45781864 57227330 91563728 114454660 143068325 228909320 286136650 457818640 572273300 715341625 1144546600 1430683250 2289093200 2861366500 5722733000 11445466000