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20086125500 = 22537194153139
BaseRepresentation
bin10010101101001110…
…011111001110111100
31220211211120220020002
4102231032133032330
5312114022004000
613121043213432
71310516151440
oct225516371674
956754526202
1020086125500
118578104421
123a86977278
131b814a117c
14d87904820
157c85ce8d5
hex4ad39f3bc

20086125500 has 384 divisors, whose sum is σ = 55477094400. Its totient is φ = 6200064000.

The previous prime is 20086125491. The next prime is 20086125503. The reversal of 20086125500 is 552168002.

Together with 35390968899 it forms a betrothed pair.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20086125503) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 144504431 + ... + 144504569.

It is an arithmetic number, because the mean of its divisors is an integer number (144471600).

Almost surely, 220086125500 is an apocalyptic number.

20086125500 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 20086125500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27738547200).

20086125500 is an abundant number, since it is smaller than the sum of its proper divisors (35390968900).

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

20086125500 is a wasteful number, since it uses less digits than its factorization.

20086125500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 20086125500 in words is "twenty billion, eighty-six million, one hundred twenty-five thousand, five hundred".