Base | Representation |
---|---|
bin | 110111101011010001100110… |
… | …110110001111110000000000 |
3 | 1012002222222222111112120201100 |
4 | 313223101212312033300000 |
5 | 224043342342122211442 |
6 | 2224442023251334400 |
7 | 102402004454230434 |
oct | 6753214666176000 |
9 | 1162888874476640 |
10 | 244866400975872 |
11 | 71027291773745 |
12 | 235688ba2b1400 |
13 | a682a582181b0 |
14 | 44678504029c4 |
15 | 1d4980c6eb84c |
hex | deb466d8fc00 |
244866400975872 has 1056 divisors, whose sum is σ = 814188691330560. Its totient is φ = 70304661504000.
The previous prime is 244866400975789. The next prime is 244866400975873. The reversal of 244866400975872 is 278579004668442.
244866400975872 is a `hidden beast` number, since 2 + 4 + 4 + 8 + 66 + 400 + 97 + 5 + 8 + 72 = 666.
244866400975872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a self number, because there is not a number n which added to its sum of digits gives 244866400975872.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (244866400975873) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142281463972 + ... + 142281465692.
Almost surely, 2244866400975872 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 244866400975872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407094345665280).
244866400975872 is an abundant number, since it is smaller than the sum of its proper divisors (569322290354688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
244866400975872 is a wasteful number, since it uses less digits than its factorization.
244866400975872 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3141 (or 3120 counting only the distinct ones).
The product of its (nonzero) digits is 1300561920, while the sum is 72.
The spelling of 244866400975872 in words is "two hundred forty-four trillion, eight hundred sixty-six billion, four hundred million, nine hundred seventy-five thousand, eight hundred seventy-two".
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