| Base | Representation |
|---|---|
| bin | 10011010011111101… |
| … | …100100000000000000 |
| 3 | 1222112010102221110000 |
| 4 | 103103331210000000 |
| 5 | 314431404000000 |
| 6 | 13305340240000 |
| 7 | 1332600043332 |
| oct | 232375440000 |
| 9 | 58463387400 |
| 10 | 20736000000 |
| 11 | 8880a27791 |
| 12 | 4028540000 |
| 13 | 1c5600ccb1 |
| 14 | 1009d51452 |
| 15 | 8156a0000 |
| hex | 4d3f64000 |
20736000000 has 525 divisors, whose sum is σ = 77436645517. Its totient is φ = 5529600000.
The previous prime is 20735999989. The next prime is 20736000011. The reversal of 20736000000 is 63702.
The square root of 20736000000 is 144000.
It is a perfect power (a square), and thus also a powerful number.
It is an interprime number because it is at equal distance from previous prime (20735999989) and next prime (20736000011).
It can be written as a sum of positive squares in 3 ways, for example, as 18166726656 + 2569273344 = 134784^2 + 50688^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Duffinian number.
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 34 ways as a sum of consecutive naturals, for example, 4147199998 + ... + 4147200002.
Almost surely, 220736000000 is an apocalyptic number.
20736000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
20736000000 is the 144000-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 20736000000
20736000000 is an abundant number, since it is smaller than the sum of its proper divisors (56700645517).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20736000000 is an frugal number, since it uses more digits than its factorization.
20736000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 70 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 252, while the sum is 18.
Multiplying 20736000000 by its sum of digits (18), we get a cube (373248000000 = 72003).
Adding to 20736000000 its reverse (63702), we get a palindrome (20736063702).
The spelling of 20736000000 in words is "twenty billion, seven hundred thirty-six million", and thus it is an aban number.
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