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20884457088 = 27321119127683
BaseRepresentation
bin10011011100110011…
…111000011010000000
31222220110210100021200
4103130303320122000
5320232410111323
613332202221200
71336351645665
oct233463703200
958813710250
1020884457088
1189478057a0
12406a1b4800
131c7a9bb821
141021957a6c
15823727443
hex4dccf8680

20884457088 has 384 divisors, whose sum is σ = 69656371200. Its totient is φ = 5939619840.

The previous prime is 20884457071. The next prime is 20884457101. The reversal of 20884457088 is 88075448802.

20884457088 is a `hidden beast` number, since 20 + 8 + 8 + 44 + 570 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30577195 + ... + 30577877.

It is an arithmetic number, because the mean of its divisors is an integer number (181396800).

Almost surely, 220884457088 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 20884457088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34828185600).

20884457088 is an abundant number, since it is smaller than the sum of its proper divisors (48771914112).

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

20884457088 is a wasteful number, since it uses less digits than its factorization.

20884457088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 20884457088 in words is "twenty billion, eight hundred eighty-four million, four hundred fifty-seven thousand, eighty-eight".