Base | Representation |
---|---|
bin | 10011011010110101… |
… | …101000000100000000 |
3 | 1222211011111211121121 |
4 | 103122311220010000 |
5 | 320200422010000 |
6 | 13325021002024 |
7 | 1335500431012 |
oct | 233265500400 |
9 | 58734454547 |
10 | 20851360000 |
11 | 893005a429 |
12 | 405b0b3314 |
13 | 1c73ba0c53 |
14 | 101b3c01b2 |
15 | 82088ab1a |
hex | 4dad68100 |
20851360000 has 225 divisors, whose sum is σ = 54899357051. Its totient is φ = 7901568000.
The previous prime is 20851359983. The next prime is 20851360021. The reversal of 20851360000 is 6315802.
It is a happy number.
The square root of 20851360000 is 144400.
It is a perfect power (a square, a biquadrate), and thus also a powerful number.
It can be written as a sum of positive squares in 2 ways, for example, as 1634746624 + 19216613376 = 40432^2 + 138624^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
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 24 ways as a sum of consecutive naturals, for example, 1097439991 + ... + 1097440009.
Almost surely, 220851360000 is an apocalyptic number.
20851360000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
20851360000 is the 144400-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 20851360000
20851360000 is an abundant number, since it is smaller than the sum of its proper divisors (34047997051).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20851360000 is an frugal number, since it uses more digits than its factorization.
20851360000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 112 (or 26 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 25.
Multiplying 20851360000 by its sum of digits (25), we get a square (521284000000 = 7220002).
20851360000 divided by its sum of digits (25) gives a square (834054400 = 288802).
Adding to 20851360000 its reverse (6315802), we get a palindrome (20857675802).
The spelling of 20851360000 in words is "twenty billion, eight hundred fifty-one million, three hundred sixty thousand".
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