| Base | Representation |
|---|---|
| bin | 10011011000011111… |
| … | …11010000000000000 |
| 3 | 222212012210210022000 |
| 4 | 21230033322000000 |
| 5 | 132302421344043 |
| 6 | 4440325344000 |
| 7 | 515604624450 |
| oct | 115417720000 |
| 9 | 28765723260 |
| 10 | 10406043648 |
| 11 | 445aa38680 |
| 12 | 2024b68000 |
| 13 | c9ab668a0 |
| 14 | 70a05bd60 |
| 15 | 40d8672d3 |
| hex | 26c3fa000 |
10406043648 has 896 divisors, whose sum is σ = 42276003840. Its totient is φ = 2441871360.
The previous prime is 10406043647. The next prime is 10406043649. The reversal of 10406043648 is 84634060401.
10406043648 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 6 + 0 + 4 + 3 + 648 = 666.
It is an interprime number because it is at equal distance from previous prime (10406043647) and next prime (10406043649).
It is a tau number, because it is divible by the number of its divisors (896).
It is a super-2 number, since 2×104060436482 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (10406043647) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221405161 + ... + 221405207.
It is an arithmetic number, because the mean of its divisors is an integer number (47183040).
Almost surely, 210406043648 is an apocalyptic number.
10406043648 is a gapful number since it is divisible by the number (18) 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 10406043648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21138001920).
10406043648 is an abundant number, since it is smaller than the sum of its proper divisors (31869960192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10406043648 is a wasteful number, since it uses less digits than its factorization.
10406043648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 113 (or 83 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
The spelling of 10406043648 in words is "ten billion, four hundred six million, forty-three thousand, six hundred forty-eight".
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