Search a number
-
+
20325276216 = 2335771109193
BaseRepresentation
bin10010111011011110…
…110001101000111000
31221110111121000100000
4102323132301220320
5313111232314331
613200505113000
71316451666030
oct227336615070
957414530300
1020325276216
1186900a7943
123b32a88760
131bbbbb557b
14dab5988c0
157de5be0e6
hex4bb7b1a38

20325276216 has 384 divisors, whose sum is σ = 67113446400. Its totient is φ = 5643509760.

The previous prime is 20325276187. The next prime is 20325276217. The reversal of 20325276216 is 61267252302.

20325276216 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 5 + 27 + 621 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20325276217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105312216 + ... + 105312408.

It is an arithmetic number, because the mean of its divisors is an integer number (174774600).

Almost surely, 220325276216 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 20325276216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33556723200).

20325276216 is an abundant number, since it is smaller than the sum of its proper divisors (46788170184).

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

20325276216 is a wasteful number, since it uses less digits than its factorization.

20325276216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 20325276216 in words is "twenty billion, three hundred twenty-five million, two hundred seventy-six thousand, two hundred sixteen".