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20017482048 = 2634171971153
BaseRepresentation
bin10010101001001000…
…101000100101000000
31220200001102110010000
4102221020220211000
5311443433411143
613110152040000
71306023534654
oct225110504500
956601373100
1020017482048
11854238a5a3
123a67993000
131b701b8c45
14d7c756a64
157c2570bd3
hex4a9228940

20017482048 has 280 divisors, whose sum is σ = 63202258152. Its totient is φ = 6242697216.

The previous prime is 20017482019. The next prime is 20017482049. The reversal of 20017482048 is 84028471002.

It can be written as a sum of positive squares in 4 ways, for example, as 14474977344 + 5542504704 = 120312^2 + 74448^2 .

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 (20017482049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17360640 + ... + 17361792.

Almost surely, 220017482048 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 20017482048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31601129076).

20017482048 is an abundant number, since it is smaller than the sum of its proper divisors (43184776104).

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

20017482048 is a wasteful number, since it uses less digits than its factorization.

20017482048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 20017482048 in words is "twenty billion, seventeen million, four hundred eighty-two thousand, forty-eight".