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20336541120 = 2632572361719
BaseRepresentation
bin10010111100001001…
…101111110111000000
31221111021210022212200
4102330021233313000
5313122123303440
613201550353200
71316646514230
oct227411576700
957437708780
1020336541120
1186964a1385
123b367bb800
131bc132aaac
14dacc8bcc0
157e0596c30
hex4bc26fdc0

20336541120 has 672 divisors, whose sum is σ = 84903137280. Its totient is φ = 4367278080.

The previous prime is 20336541107. The next prime is 20336541163. The reversal of 20336541120 is 2114563302.

20336541120 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 654 + 1 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28284121 + ... + 28284839.

Almost surely, 220336541120 is an apocalyptic number.

20336541120 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 20336541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42451568640).

20336541120 is an abundant number, since it is smaller than the sum of its proper divisors (64566596160).

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

20336541120 is a wasteful number, since it uses less digits than its factorization.

20336541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

It can be divided in two parts, 2033 and 6541120, that added together give a triangular number (6543153 = T3617).

The spelling of 20336541120 in words is "twenty billion, three hundred thirty-six million, five hundred forty-one thousand, one hundred twenty".