| Base | Representation |
|---|---|
| bin | 10010110100110110… |
| … | …010110010000000000 |
| 3 | 1221011202020100121100 |
| 4 | 102310312112100000 |
| 5 | 312344241434401 |
| 6 | 13141452254400 |
| 7 | 1313631202161 |
| oct | 226466262000 |
| 9 | 57152210540 |
| 10 | 20214014976 |
| 11 | 8633314701 |
| 12 | 3b01771400 |
| 13 | 1ba1b2b10c |
| 14 | d9a8b5768 |
| 15 | 7d4942b86 |
| hex | 4b4d96400 |
20214014976 has 99 divisors (see below), whose sum is σ = 58406967073. Its totient is φ = 6733455360.
The previous prime is 20214014929. The next prime is 20214014983. The reversal of 20214014976 is 67941041202.
It is a happy number.
The square root of 20214014976 is 142176.
It is a perfect power (a square), and thus also a powerful number.
20214014976 is a `hidden beast` number, since 20 + 2 + 140 + 1 + 497 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 8653464576 + 11560550400 = 93024^2 + 107520^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 20214014976.
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 8 ways as a sum of consecutive naturals, for example, 13648156 + ... + 13649636.
Almost surely, 220214014976 is an apocalyptic number.
20214014976 is the 142176-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 20214014976
20214014976 is an abundant number, since it is smaller than the sum of its proper divisors (38192952097).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20214014976 is an frugal number, since it uses more digits than its factorization.
20214014976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2988 (or 1486 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
Multiplying 20214014976 by its sum of digits (36), we get a square (727704539136 = 8530562).
20214014976 divided by its sum of digits (36) gives a square (561500416 = 236962).
The spelling of 20214014976 in words is "twenty billion, two hundred fourteen million, fourteen thousand, nine hundred seventy-six".
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