Base | Representation |
---|---|
bin | 110111101111101110111111… |
… | …111101100010000010010000 |
3 | 1012011002021221200020201011100 |
4 | 313233232333331202002100 |
5 | 224113402433204023031 |
6 | 2225234503000144400 |
7 | 102433103333222112 |
oct | 6757567775420220 |
9 | 1164067850221140 |
10 | 245172838736016 |
11 | 71135242907474 |
12 | 235b817b768100 |
13 | a6a5912a15319 |
14 | 44786005473b2 |
15 | 1d52795164de6 |
hex | defbbff62090 |
245172838736016 has 45 divisors (see below), whose sum is σ = 686143956477369. Its totient is φ = 81724216946688.
The previous prime is 245172838735931. The next prime is 245172838736017. The reversal of 245172838736016 is 610637838271542.
It is a happy number.
The square root of 245172838736016 is 15657996.
It is a perfect power (a square), and thus also a powerful number.
245172838736016 is a `hidden beast` number, since 2 + 4 + 5 + 17 + 2 + 8 + 3 + 8 + 7 + 3 + 601 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 227894650592400 + 17278188143616 = 15096180^2 + 4156704^2 .
It is not an unprimeable number, because it can be changed into a prime (245172838736017) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 187243536 + ... + 188548368.
Almost surely, 2245172838736016 is an apocalyptic number.
245172838736016 is the 15657996-th square number.
It is an amenable number.
245172838736016 is an abundant number, since it is smaller than the sum of its proper divisors (440971117741353).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
245172838736016 is an frugal number, since it uses more digits than its factorization.
245172838736016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2609680 (or 1304838 counting only the distinct ones).
The product of its (nonzero) digits is 81285120, while the sum is 63.
The spelling of 245172838736016 in words is "two hundred forty-five trillion, one hundred seventy-two billion, eight hundred thirty-eight million, seven hundred thirty-six thousand, sixteen".
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