| Base | Representation |
|---|---|
| bin | 1111111000101010000… |
| … | …1100001101001011001 |
| 3 | 222002102100122012210000 |
| 4 | 3332022201201221121 |
| 5 | 13432403141442100 |
| 6 | 325212143443213 |
| 7 | 25500614042514 |
| oct | 3761241415131 |
| 9 | 862370565700 |
| 10 | 272906984025 |
| 11 | a5814972405 |
| 12 | 44a83bb6509 |
| 13 | 1c972ab1400 |
| 14 | d2ccc09d7b |
| 15 | 7173da3900 |
| hex | 3f8a861a59 |
272906984025 has 405 divisors, whose sum is σ = 590275406061. Its totient is φ = 124574785920.
The previous prime is 272906984011. The next prime is 272906984029. The reversal of 272906984025 is 520489609272.
The square root of 272906984025 is 522405.
It is a perfect power (a square), and thus also a powerful number.
272906984025 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 4 ways, for example, as 70342178841 + 202564805184 = 265221^2 + 450072^2 .
It is a tau number, because it is divible by the number of its divisors (405).
It is not a de Polignac number, because 272906984025 - 237 = 135468030553 is a prime.
It is not an unprimeable number, because it can be changed into a prime (272906984029) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 5806531552 + ... + 5806531598.
Almost surely, 2272906984025 is an apocalyptic number.
272906984025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.
272906984025 is the 522405-th square number.
272906984025 is the 261203-rd centered octagonal number.
It is an amenable number.
272906984025 is an abundant number, since it is smaller than the sum of its proper divisors (317368422036).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
272906984025 is a wasteful number, since it uses less digits than its factorization.
272906984025 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 180 (or 87 counting only the distinct ones).
The product of its (nonzero) digits is 4354560, while the sum is 54.
The spelling of 272906984025 in words is "two hundred seventy-two billion, nine hundred six million, nine hundred eighty-four thousand, twenty-five".
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