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20032427520 = 29345737373
BaseRepresentation
bin10010101010000001…
…101001011000000000
31220201002112202110000
4102222001221120000
5312011300140040
613111444240000
71306264552530
oct225201513000
956632482400
1020032427520
11854a868326
123a709a0000
131b7331c811
14d807274c0
157c3a24130
hex4aa069600

20032427520 has 800 divisors, whose sum is σ = 84441791808. Its totient is φ = 4443144192.

The previous prime is 20032427413. The next prime is 20032427521. The reversal of 20032427520 is 2572423002.

20032427520 is a `hidden beast` number, since 200 + 32 + 427 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20032427521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53706054 + ... + 53706426.

Almost surely, 220032427520 is an apocalyptic number.

20032427520 is a gapful number since it is divisible by the number (20) 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 20032427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42220895904).

20032427520 is an abundant number, since it is smaller than the sum of its proper divisors (64409364288).

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

20032427520 is an equidigital number, since it uses as much as digits as its factorization.

20032427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 20032427520 in words is "twenty billion, thirty-two million, four hundred twenty-seven thousand, five hundred twenty".