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20309752008 = 233271323307439
BaseRepresentation
bin10010111010100011…
…100011100011001000
31221102102101022010100
4102322203203203020
5313043244031013
613155152245400
71316203020660
oct227243434310
957372338110
1020309752008
118682364317
123b29840860
131bb890b450
14da94b71a0
157dd054473
hex4ba8e38c8

20309752008 has 384 divisors, whose sum is σ = 71034163200. Its totient is φ = 5095208448.

The previous prime is 20309752007. The next prime is 20309752037. The reversal of 20309752008 is 80025790302.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (20309752007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46263453 + ... + 46263891.

It is an arithmetic number, because the mean of its divisors is an integer number (184984800).

Almost surely, 220309752008 is an apocalyptic number.

20309752008 is a gapful number since it is divisible by the number (28) 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 20309752008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35517081600).

20309752008 is an abundant number, since it is smaller than the sum of its proper divisors (50724411192).

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

20309752008 is a wasteful number, since it uses less digits than its factorization.

20309752008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 20309752008 in words is "twenty billion, three hundred nine million, seven hundred fifty-two thousand, eight".