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20880000000 = 210325729
BaseRepresentation
bin10011011100100010…
…111000010000000000
31222220011101220022100
4103130202320100000
5320230240000000
613331522510400
71336266033366
oct233442702000
958804356270
1020880000000
118945241052
124068805400
131c79ababb2
141021117636
15823146a00
hex4dc8b8400

20880000000 has 528 divisors, whose sum is σ = 77961714480. Its totient is φ = 5376000000.

The previous prime is 20879999989. The next prime is 20880000007. The reversal of 20880000000 is 8802.

It can be written as a sum of positive squares in 8 ways, for example, as 16351248384 + 4528751616 = 127872^2 + 67296^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20880000007) 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, 719999986 + ... + 720000014.

Almost surely, 220880000000 is an apocalyptic number.

20880000000 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 20880000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38980857240).

20880000000 is an abundant number, since it is smaller than the sum of its proper divisors (57081714480).

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

20880000000 is an frugal number, since it uses more digits than its factorization.

20880000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20880000000 its reverse (8802), we get a palindrome (20880008802).

The spelling of 20880000000 in words is "twenty billion, eight hundred eighty million", and thus it is an aban number.