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20281835808 = 2533133121879
BaseRepresentation
bin10010111000111001…
…000100000100100000
31221100110212000022000
4102320321010010200
5313014122221213
613152314044000
71315413521433
oct227071040440
957313760260
1020281835808
118668627483
123b20419600
131bb2bb5aa0
14da58cb81a
157da88cc73
hex4b8e44120

20281835808 has 288 divisors, whose sum is σ = 65862115200. Its totient is φ = 6036042240.

The previous prime is 20281835797. The next prime is 20281835813. The reversal of 20281835808 is 80853818202.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×202818358082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 10793013 + ... + 10794891.

It is an arithmetic number, because the mean of its divisors is an integer number (228687900).

Almost surely, 220281835808 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 20281835808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32931057600).

20281835808 is an abundant number, since it is smaller than the sum of its proper divisors (45580279392).

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

20281835808 is a wasteful number, since it uses less digits than its factorization.

20281835808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 20281835808 in words is "twenty billion, two hundred eighty-one million, eight hundred thirty-five thousand, eight hundred eight".