| Base | Representation |
|---|---|
| bin | 1000001101111100… |
| … | …11101110100000000 |
| 3 | 102101110222002221000 |
| 4 | 10012332131310000 |
| 5 | 33013433140012 |
| 6 | 2005444332000 |
| 7 | 214222300116 |
| oct | 40676356400 |
| 9 | 12343862830 |
| 10 | 4412005632 |
| 11 | 196450a151 |
| 12 | a316a4000 |
| 13 | 5540a7728 |
| 14 | 2dbd61ab6 |
| 15 | 1ac50addc |
| hex | 106f9dd00 |
4412005632 has 144 divisors (see below), whose sum is σ = 13086178560. Its totient is φ = 1466265600.
The previous prime is 4412005553. The next prime is 4412005643. The reversal of 4412005632 is 2365002144.
4412005632 is a `hidden beast` number, since 4 + 4 + 1 + 20 + 0 + 5 + 632 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 4412005596 and 4412005605.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2978332 + ... + 2979812.
It is an arithmetic number, because the mean of its divisors is an integer number (90876240).
Almost surely, 24412005632 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 4412005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6543089280).
4412005632 is an abundant number, since it is smaller than the sum of its proper divisors (8674172928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4412005632 is a wasteful number, since it uses less digits than its factorization.
4412005632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1937 (or 1917 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
The square root of 4412005632 is about 66422.9300166742. The cubic root of 4412005632 is about 1640.1315619224.
Adding to 4412005632 its reverse (2365002144), we get a palindrome (6777007776).
The spelling of 4412005632 in words is "four billion, four hundred twelve million, five thousand, six hundred thirty-two".
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