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20539123200 = 2932521311361
BaseRepresentation
bin10011001000001110…
…100010011000000000
31222000101222120020200
4103020032202120000
5314031003420300
613234024405200
71324656444441
oct231016423000
958011876220
1020539123200
11878a888292
123b92616800
131c242aa44b
14dcbb432c8
15803261200
hex4c83a2600

20539123200 has 360 divisors, whose sum is σ = 74119369896. Its totient is φ = 5431296000.

The previous prime is 20539123147. The next prime is 20539123229. The reversal of 20539123200 is 232193502.

20539123200 is a `hidden beast` number, since 2 + 0 + 539 + 123 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 15090520 + ... + 15091880.

Almost surely, 220539123200 is an apocalyptic number.

20539123200 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 20539123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37059684948).

20539123200 is an abundant number, since it is smaller than the sum of its proper divisors (53580246696).

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

20539123200 is a wasteful number, since it uses less digits than its factorization.

20539123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 20539123200 in words is "twenty billion, five hundred thirty-nine million, one hundred twenty-three thousand, two hundred".