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21088574208 = 28351389293
BaseRepresentation
bin10011101000111110…
…100001101100000000
32000102200212120100000
4103220332201230000
5321142133333313
613404333200000
71344410631432
oct235076415400
960380776300
1021088574208
118a41a4aa29
124106630000
131cb1087aa0
141040acc652
158365e6673
hex4e8fa1b00

21088574208 has 432 divisors, whose sum is σ = 68903321760. Its totient is φ = 6393987072.

The previous prime is 21088574161. The next prime is 21088574209. The reversal of 21088574208 is 80247588012.

It is a happy number.

21088574208 is a `hidden beast` number, since 210 + 8 + 8 + 5 + 7 + 420 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (21088574209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71974510 + ... + 71974802.

It is an arithmetic number, because the mean of its divisors is an integer number (159498430).

Almost surely, 221088574208 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 21088574208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34451660880).

21088574208 is an abundant number, since it is smaller than the sum of its proper divisors (47814747552).

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

21088574208 is an equidigital number, since it uses as much as digits as its factorization.

21088574208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 21088574208 in words is "twenty-one billion, eighty-eight million, five hundred seventy-four thousand, two hundred eight".