Base | Representation |
---|---|
bin | 1101101111110001011… |
… | …00001110100000000000 |
3 | 1200011011001111222210000 |
4 | 12313320230032200000 |
5 | 30214304341403220 |
6 | 1000552121440000 |
7 | 46060423606164 |
oct | 6677054164000 |
9 | 1604131458700 |
10 | 472323778560 |
11 | 172347506717 |
12 | 77658340000 |
13 | 3570333509a |
14 | 18c09676ca4 |
15 | c446026390 |
hex | 6df8b0e800 |
472323778560 has 1920 divisors, whose sum is σ = 1977857481600. Its totient is φ = 107017666560.
The previous prime is 472323778529. The next prime is 472323778567. The reversal of 472323778560 is 65877323274.
472323778560 is a `hidden beast` number, since 4 + 7 + 2 + 3 + 2 + 3 + 7 + 78 + 560 = 666.
It is a tau number, because it is divible by the number of its divisors (1920).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 472323778497 and 472323778506.
It is not an unprimeable number, because it can be changed into a prime (472323778567) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10984273899 + ... + 10984273941.
It is an arithmetic number, because the mean of its divisors is an integer number (1030134105).
Almost surely, 2472323778560 is an apocalyptic number.
472323778560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 472323778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988928740800).
472323778560 is an abundant number, since it is smaller than the sum of its proper divisors (1505533703040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
472323778560 is a wasteful number, since it uses less digits than its factorization.
472323778560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 159 (or 130 counting only the distinct ones).
The product of its (nonzero) digits is 11854080, while the sum is 54.
The spelling of 472323778560 in words is "four hundred seventy-two billion, three hundred twenty-three million, seven hundred seventy-eight thousand, five hundred sixty".
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