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20459682432 = 2737753197
BaseRepresentation
bin10011000011011111…
…011111101010000000
31221210212111120000000
4103003133133222000
5313400134314212
613222110000000
71323003300630
oct230337375200
957725446000
1020459682432
118749a59262
123b6baa6000
131c109b4787
14dc13846c0
157eb2bd1dc
hex4c37dfa80

20459682432 has 512 divisors, whose sum is σ = 71542310400. Its totient is φ = 5706215424.

The previous prime is 20459682409. The next prime is 20459682437. The reversal of 20459682432 is 23428695402.

20459682432 is a `hidden beast` number, since 2 + 0 + 4 + 596 + 8 + 24 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20459682437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103856158 + ... + 103856354.

It is an arithmetic number, because the mean of its divisors is an integer number (139731075).

Almost surely, 220459682432 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 20459682432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35771155200).

20459682432 is an abundant number, since it is smaller than the sum of its proper divisors (51082627968).

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

20459682432 is an frugal number, since it uses more digits than its factorization.

20459682432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 20459682432 in words is "twenty billion, four hundred fifty-nine million, six hundred eighty-two thousand, four hundred thirty-two".