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45043200000 = 21232551723
BaseRepresentation
bin101001111100110010…
…001011000000000000
311022021010201122022200
4221330302023000000
51214222024400000
632405332033200
73153132611541
oct517462130000
9138233648280
1045043200000
1118114791927
128890a62800
13432ab58386
1422742b64c8
151289623500
hexa7cc8b000

45043200000 has 936 divisors, whose sum is σ = 179678562336. Its totient is φ = 10813440000.

The previous prime is 45043199959. The next prime is 45043200011. The reversal of 45043200000 is 234054.

It is a happy number.

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

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 71 ways as a sum of consecutive naturals, for example, 1958399989 + ... + 1958400011.

It is an arithmetic number, because the mean of its divisors is an integer number (191964276).

Almost surely, 245043200000 is an apocalyptic number.

45043200000 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 45043200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89839281168).

45043200000 is an abundant number, since it is smaller than the sum of its proper divisors (134635362336).

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

45043200000 is an equidigital number, since it uses as much as digits as its factorization.

45043200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 45043200000 its reverse (234054), we get a palindrome (45043434054).

The spelling of 45043200000 in words is "forty-five billion, forty-three million, two hundred thousand".