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20046716928 = 213327231179
BaseRepresentation
bin10010101010111000…
…001010000000000000
31220202002102201211100
4102222320022000000
5312023424420203
613113114414400
71306530165600
oct225270120000
956662381740
1020046716928
118557938157
123a75731400
131b762838a4
14d825a6c00
157c4de7ea3
hex4aae0a000

20046716928 has 504 divisors, whose sum is σ = 69925265280. Its totient is φ = 5511905280.

The previous prime is 20046716927. The next prime is 20046716939. The reversal of 20046716928 is 82961764002.

It is a happy number.

20046716928 is a `hidden beast` number, since 2 + 0 + 0 + 467 + 169 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (20046716923) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111992743 + ... + 111992921.

Almost surely, 220046716928 is an apocalyptic number.

20046716928 is a gapful number since it is divisible by the number (28) 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 20046716928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34962632640).

20046716928 is an abundant number, since it is smaller than the sum of its proper divisors (49878548352).

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

20046716928 is a wasteful number, since it uses less digits than its factorization.

20046716928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 20046716928 in words is "twenty billion, forty-six million, seven hundred sixteen thousand, nine hundred twenty-eight".