| Base | Representation |
|---|---|
| bin | 10101010111001000001100… |
| … | …10011111101101001100100 |
| 3 | 20011022200112012102012210000 |
| 4 | 22223210012103331221210 |
| 5 | 22124111041240303100 |
| 6 | 243523344353501300 |
| 7 | 12615525361202100 |
| oct | 1253440623755144 |
| 9 | 204280465365700 |
| 10 | 46974163212900 |
| 11 | 13a706a3579900 |
| 12 | 5327aa8271830 |
| 13 | 202984c1c6691 |
| 14 | b857c1184900 |
| 15 | 566d8c056900 |
| hex | 2ab9064fda64 |
46974163212900 has 3645 divisors, whose sum is σ = 208375831610793. Its totient is φ = 9119352211200.
The previous prime is 46974163212827. The next prime is 46974163212901. The reversal of 46974163212900 is 921236147964.
The square root of 46974163212900 is 6853770.
It is a perfect power (a square), and thus also a powerful number.
46974163212900 is a `hidden beast` number, since 4 + 6 + 9 + 7 + 416 + 3 + 212 + 9 + 0 + 0 = 666.
46974163212900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 16910698756644 + 30063464456256 = 4112262^2 + 5483016^2 .
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (46974163212901) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 1214 ways as a sum of consecutive naturals, for example, 1092422400279 + ... + 1092422400321.
Almost surely, 246974163212900 is an apocalyptic number.
46974163212900 is the 6853770-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 46974163212900
46974163212900 is an abundant number, since it is smaller than the sum of its proper divisors (161401668397893).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46974163212900 is a wasteful number, since it uses less digits than its factorization.
46974163212900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 194 (or 94 counting only the distinct ones).
The product of its (nonzero) digits is 3919104, while the sum is 54.
The spelling of 46974163212900 in words is "forty-six trillion, nine hundred seventy-four billion, one hundred sixty-three million, two hundred twelve thousand, nine hundred".
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