| Base | Representation |
|---|---|
| bin | 100111100011010… |
| … | …011000110000000 |
| 3 | 1201020121120121100 |
| 4 | 213203103012000 |
| 5 | 2324333032142 |
| 6 | 145502254400 |
| 7 | 22305130611 |
| oct | 4743230600 |
| 9 | 1636546540 |
| 10 | 663564672 |
| 11 | 310623a61 |
| 12 | 166287400 |
| 13 | a7623224 |
| 14 | 641b1c08 |
| 15 | 3d3c6b4c |
| hex | 278d3180 |
663564672 has 192 divisors, whose sum is σ = 2088927360. Its totient is φ = 201277440.
The previous prime is 663564667. The next prime is 663564677. The reversal of 663564672 is 276465366.
663564672 is a `hidden beast` number, since 6 + 635 + 6 + 4 + 6 + 7 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (663564667) and next prime (663564677).
It is a tau number, because it is divible by the number of its divisors (192).
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (663564677) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606558 + ... + 607650.
It is an arithmetic number, because the mean of its divisors is an integer number (10879830).
Almost surely, 2663564672 is an apocalyptic number.
663564672 is a gapful number since it is divisible by the number (62) 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 663564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044463680).
663564672 is an abundant number, since it is smaller than the sum of its proper divisors (1425362688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
663564672 is a wasteful number, since it uses less digits than its factorization.
663564672 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1161 (or 1146 counting only the distinct ones).
The product of its digits is 1088640, while the sum is 45.
The square root of 663564672 is about 25759.7490671008. The cubic root of 663564672 is about 872.2234368370.
The spelling of 663564672 in words is "six hundred sixty-three million, five hundred sixty-four thousand, six hundred seventy-two".
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