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20039778432 = 2737174211
BaseRepresentation
bin10010101010011101…
…101100000010000000
31220201121101020000000
4102222131230002000
5312020140402212
613112310000000
71306414210002
oct225235540200
956647336000
1020039778432
118553a29163
123a73346000
131b749c467b
14d816bc372
157c44c71dc
hex4aa76c080

20039778432 has 256 divisors, whose sum is σ = 63412502400. Its totient is φ = 6285496320.

The previous prime is 20039778349. The next prime is 20039778487. The reversal of 20039778432 is 23487793002.

20039778432 is a `hidden beast` number, since 200 + 3 + 9 + 7 + 7 + 8 + 432 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4756807 + ... + 4761017.

Almost surely, 220039778432 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 20039778432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31706251200).

20039778432 is an abundant number, since it is smaller than the sum of its proper divisors (43372723968).

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

20039778432 is an frugal number, since it uses more digits than its factorization.

20039778432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4263 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 20039778432 in words is "twenty billion, thirty-nine million, seven hundred seventy-eight thousand, four hundred thirty-two".