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20886336000 = 2935531779
BaseRepresentation
bin10011011100111011…
…000011001000000000
31222220121022210200000
4103130323003020000
5320233400223000
613332310400000
71336403632605
oct233473031000
958817283600
1020886336000
118948879412
12406a960000
131c7b1c8aca
141021cc66ac
15823999000
hex4dcec3200

20886336000 has 960 divisors, whose sum is σ = 83649646080. Its totient is φ = 5175705600.

The previous prime is 20886335957. The next prime is 20886336013. The reversal of 20886336000 is 63368802.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264383961 + ... + 264384039.

It is an arithmetic number, because the mean of its divisors is an integer number (87135048).

Almost surely, 220886336000 is an apocalyptic number.

20886336000 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 20886336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41824823040).

20886336000 is an abundant number, since it is smaller than the sum of its proper divisors (62763310080).

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

20886336000 is an frugal number, since it uses more digits than its factorization.

20886336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20886336000 in words is "twenty billion, eight hundred eighty-six million, three hundred thirty-six thousand".