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11045000000 = 2657472
BaseRepresentation
bin10100100100101010…
…10101001101000000
31001111202010010122002
422102111111031000
5140110010000000
65023552403132
7540463644116
oct122225251500
931452103562
1011045000000
114758683a81
122182b464a8
131070351c78
1476ac65ab6
154499cc8d5
hex292555340

11045000000 has 168 divisors, whose sum is σ = 27992018184. Its totient is φ = 4324000000.

The previous prime is 11044999961. The next prime is 11045000017. The reversal of 11045000000 is 54011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 10926102784 + 118897216 = 104528^2 + 10904^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 234999977 + ... + 235000023.

Almost surely, 211045000000 is an apocalyptic number.

11045000000 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 11045000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13996009092).

11045000000 is an abundant number, since it is smaller than the sum of its proper divisors (16947018184).

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

11045000000 is an frugal number, since it uses more digits than its factorization.

11045000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

Multiplying 11045000000 by its product of nonzero digits (20), we get a square (220900000000 = 4700002).

11045000000 divided by its product of nonzero digits (20) gives a square (552250000 = 235002).

Adding to 11045000000 its reverse (54011), we get a palindrome (11045054011).

The spelling of 11045000000 in words is "eleven billion, forty-five million", and thus it is an aban number and an uban number.