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45032130000 = 24325411133499
BaseRepresentation
bin101001111100000111…
…111100010111010000
311022020100220020010200
4221330013330113100
51214211211130000
632404254455200
73152636534514
oct517407742720
9138210806120
1045032130000
1118109510870
128889204500
134328780790
142272a34144
151288688500
hexa7c1fc5d0

45032130000 has 600 divisors, whose sum is σ = 185068884000. Its totient is φ = 10074240000.

The previous prime is 45032129911. The next prime is 45032130061. The reversal of 45032130000 is 3123054.

45032130000 is a `hidden beast` number, since 45 + 0 + 321 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12868251 + ... + 12871749.

It is an arithmetic number, because the mean of its divisors is an integer number (308448140).

Almost surely, 245032130000 is an apocalyptic number.

45032130000 is a gapful number since it is divisible by the number (40) 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 45032130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534442000).

45032130000 is an abundant number, since it is smaller than the sum of its proper divisors (140036754000).

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

45032130000 is a wasteful number, since it uses less digits than its factorization.

45032130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 45032130000 its reverse (3123054), we get a palindrome (45035253054).

The spelling of 45032130000 in words is "forty-five billion, thirty-two million, one hundred thirty thousand".