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11523044000 = 25531319107109
BaseRepresentation
bin10101011101101001…
…11011001010100000
31002202001122021201102
422232310323022200
5142044344402000
65143230453532
7555360154316
oct125664731240
932661567642
1011523044000
114983504566
1222970642a8
1311183ba540
147b45440b6
1547695a3d5
hex2aed3b2a0

11523044000 has 384 divisors, whose sum is σ = 32691859200. Its totient is φ = 3956428800.

The previous prime is 11523043997. The next prime is 11523044011. The reversal of 11523044000 is 44032511.

11523044000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 105715946 + ... + 105716054.

It is an arithmetic number, because the mean of its divisors is an integer number (85135050).

Almost surely, 211523044000 is an apocalyptic number.

11523044000 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 11523044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16345929600).

11523044000 is an abundant number, since it is smaller than the sum of its proper divisors (21168815200).

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

11523044000 is a wasteful number, since it uses less digits than its factorization.

11523044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 11523044000 its reverse (44032511), we get a palindrome (11567076511).

The spelling of 11523044000 in words is "eleven billion, five hundred twenty-three million, forty-four thousand".