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20525000832 = 273672672
BaseRepresentation
bin10011000111011000…
…101010100010000000
31221222102102002000000
4103013120222202000
5314013400011312
613232402000000
71324425425400
oct230730524200
957872362000
1020525000832
118782911a06
123b89946000
131c213a440b
14dc9d08800
15801dc1adc
hex4c762a880

20525000832 has 504 divisors, whose sum is σ = 72395942535. Its totient is φ = 5776759296.

The previous prime is 20525000827. The next prime is 20525000917. The reversal of 20525000832 is 23800052502.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 10262500416 + 10262500416 = 101304^2 + 101304^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=101304.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20525000796 and 20525000805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 306343263 + ... + 306343329.

Almost surely, 220525000832 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 20525000832

20525000832 is an abundant number, since it is smaller than the sum of its proper divisors (51870941703).

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

20525000832 is an frugal number, since it uses more digits than its factorization.

20525000832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 20525000832 in words is "twenty billion, five hundred twenty-five million, eight hundred thirty-two", and thus it is an aban number.