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20884886640 = 24335192811811
BaseRepresentation
bin10011011100110101…
…100001010001110000
31222220111121011112000
4103130311201101300
5320233012333030
613332215334000
71336355415222
oct233465412160
958814534460
1020884886640
118947a794a2
12406a381300
131c7ab0c1b7
141021a2a412
158237ae860
hex4dcd61470

20884886640 has 320 divisors, whose sum is σ = 76034419200. Its totient is φ = 5254502400.

The previous prime is 20884886629. The next prime is 20884886653. The reversal of 20884886640 is 4668848802.

20884886640 is a `hidden beast` number, since 20 + 88 + 488 + 6 + 64 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11531335 + ... + 11533145.

It is an arithmetic number, because the mean of its divisors is an integer number (237607560).

Almost surely, 220884886640 is an apocalyptic number.

20884886640 is a gapful number since it is divisible by the number (20) 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 20884886640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38017209600).

20884886640 is an abundant number, since it is smaller than the sum of its proper divisors (55149532560).

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

20884886640 is a wasteful number, since it uses less digits than its factorization.

20884886640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 20884886640 in words is "twenty billion, eight hundred eighty-four million, eight hundred eighty-six thousand, six hundred forty".