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20448594432 = 293271789419
BaseRepresentation
bin10011000010110101…
…001100101000000000
31221210002122020010100
4103002311030220000
5313334320010212
613221032202400
71322510120250
oct230265145000
957702566110
1020448594432
118743775722
123b68239400
131c0b601926
14dbdad9960
157ea32cbdc
hex4c2d4ca00

20448594432 has 480 divisors, whose sum is σ = 72389116800. Its totient is φ = 5424021504.

The previous prime is 20448594427. The next prime is 20448594451. The reversal of 20448594432 is 23449584402.

20448594432 is a `hidden beast` number, since 20 + 4 + 4 + 8 + 594 + 4 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48803119 + ... + 48803537.

It is an arithmetic number, because the mean of its divisors is an integer number (150810660).

Almost surely, 220448594432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20448594432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36194558400).

20448594432 is an abundant number, since it is smaller than the sum of its proper divisors (51940522368).

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

20448594432 is a wasteful number, since it uses less digits than its factorization.

20448594432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 20448594432 in words is "twenty billion, four hundred forty-eight million, five hundred ninety-four thousand, four hundred thirty-two".