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20129189472 = 2534710310771
BaseRepresentation
bin10010101111110010…
…110000111001100000
31220221211121202220000
4102233302300321200
5312211033030342
613125222220000
71311551200410
oct225762607140
956854552800
1020129189472
11859a447a87
123a99284600
131b8a39b502
14d8d514640
157cc28944c
hex4afcb0e60

20129189472 has 240 divisors, whose sum is σ = 68319643392. Its totient is φ = 5694831360.

The previous prime is 20129189447. The next prime is 20129189489. The reversal of 20129189472 is 27498192102.

20129189472 is a `hidden beast` number, since 2 + 0 + 12 + 91 + 89 + 472 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1863447 + ... + 1874217.

Almost surely, 220129189472 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 20129189472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34159821696).

20129189472 is an abundant number, since it is smaller than the sum of its proper divisors (48190453920).

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

20129189472 is a wasteful number, since it uses less digits than its factorization.

20129189472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10903 (or 10886 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 20129189472 in words is "twenty billion, one hundred twenty-nine million, one hundred eighty-nine thousand, four hundred seventy-two".