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20840769180 = 22335731153193
BaseRepresentation
bin10011011010001101…
…001110011010011100
31222210102120202202000
4103122031032122130
5320140214103210
613324002002300
71335311421000
oct233215163234
958712522660
1020840769180
118925086390
124057646390
131c719334aa
141019c24700
1581e997ac0
hex4da34e69c

20840769180 has 768 divisors, whose sum is σ = 84478464000. Its totient is φ = 4226826240.

The previous prime is 20840769167. The next prime is 20840769199. The reversal of 20840769180 is 8196704802.

20840769180 is a `hidden beast` number, since 2 + 0 + 8 + 407 + 69 + 180 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 107983164 + ... + 107983356.

It is an arithmetic number, because the mean of its divisors is an integer number (109998000).

Almost surely, 220840769180 is an apocalyptic number.

20840769180 is a gapful number since it is divisible by the number (20) 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 20840769180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42239232000).

20840769180 is an abundant number, since it is smaller than the sum of its proper divisors (63637694820).

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

20840769180 is a wasteful number, since it uses less digits than its factorization.

20840769180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 20840769180 in words is "twenty billion, eight hundred forty million, seven hundred sixty-nine thousand, one hundred eighty".