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20530005600 = 25352131315023
BaseRepresentation
bin10011000111101011…
…110000011001100000
31221222202211100020210
4103013223300121200
5314021140134400
613233101134120
71324516111506
oct230753603140
957882740223
1020530005600
118785720085
123b8b55a340
131c22437410
14dca84c676
1580255e950
hex4c7af0660

20530005600 has 288 divisors, whose sum is σ = 72529357824. Its totient is φ = 5013964800.

The previous prime is 20530005599. The next prime is 20530005607. The reversal of 20530005600 is 650003502.

It is a super-2 number, since 2×205300056002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20530005607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4084689 + ... + 4089711.

It is an arithmetic number, because the mean of its divisors is an integer number (251838048).

Almost surely, 220530005600 is an apocalyptic number.

20530005600 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 20530005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36264678912).

20530005600 is an abundant number, since it is smaller than the sum of its proper divisors (51999352224).

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

20530005600 is a wasteful number, since it uses less digits than its factorization.

20530005600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The spelling of 20530005600 in words is "twenty billion, five hundred thirty million, five thousand, six hundred".