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20540484432 = 243213219311433
BaseRepresentation
bin10011001000010011…
…101110101101010000
31222000111112201111200
4103020103232231100
5314031331000212
613234113511200
71325004144156
oct231023565520
958014481450
1020540484432
118790627a76
123b92b72500
131c24665c00
14dcbdb93d6
1580342e6dc
hex4c84eeb50

20540484432 has 360 divisors, whose sum is σ = 67683882240. Its totient is φ = 5790320640.

The previous prime is 20540484431. The next prime is 20540484439. The reversal of 20540484432 is 23448404502.

20540484432 is a `hidden beast` number, since 2 + 0 + 540 + 4 + 84 + 4 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20540484431) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14333188 + ... + 14334620.

It is an arithmetic number, because the mean of its divisors is an integer number (188010784).

Almost surely, 220540484432 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 20540484432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33841941120).

20540484432 is an abundant number, since it is smaller than the sum of its proper divisors (47143397808).

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

20540484432 is a wasteful number, since it uses less digits than its factorization.

20540484432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 20540484432 its reverse (23448404502), we get a palindrome (43988888934).

The spelling of 20540484432 in words is "twenty billion, five hundred forty million, four hundred eighty-four thousand, four hundred thirty-two".