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45040911840 = 2534531711579
BaseRepresentation
bin101001111100101001…
…011100010111100000
311022020222102101120000
4221330221130113200
51214220433134330
632405211020000
73153104301531
oct517451342740
9138228371500
1045040911840
1118113469791
12889013a600
13432a536a32
142273c7c688
151289320560
hexa7ca5c5e0

45040911840 has 480 divisors, whose sum is σ = 166500956160. Its totient is φ = 11452492800.

The previous prime is 45040911821. The next prime is 45040911841. The reversal of 45040911840 is 4811904054.

45040911840 is a `hidden beast` number, since 450 + 40 + 91 + 1 + 84 + 0 = 666.

45040911840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45040911795 and 45040911804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45040911841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28524171 + ... + 28525749.

It is an arithmetic number, because the mean of its divisors is an integer number (346876992).

Almost surely, 245040911840 is an apocalyptic number.

45040911840 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 45040911840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83250478080).

45040911840 is an abundant number, since it is smaller than the sum of its proper divisors (121460044320).

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

45040911840 is a wasteful number, since it uses less digits than its factorization.

45040911840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 45040911840 in words is "forty-five billion, forty million, nine hundred eleven thousand, eight hundred forty".