| Base | Representation |
|---|---|
| bin | 10011011001011101… |
| … | …00111010011100000 |
| 3 | 222212202221202200000 |
| 4 | 21230232213103200 |
| 5 | 132312001443121 |
| 6 | 4441214100000 |
| 7 | 516033222510 |
| oct | 115456472340 |
| 9 | 28782852600 |
| 10 | 10414093536 |
| 11 | 4464536680 |
| 12 | 20277aa600 |
| 13 | c9c724932 |
| 14 | 70b155840 |
| 15 | 40e407526 |
| hex | 26cba74e0 |
10414093536 has 288 divisors, whose sum is σ = 38292403968. Its totient is φ = 2704803840.
The previous prime is 10414093513. The next prime is 10414093549. The reversal of 10414093536 is 63539041401.
10414093536 is a `hidden beast` number, since 104 + 14 + 0 + 9 + 3 + 536 = 666.
10414093536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 10414093536.
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 590056 + ... + 607448.
It is an arithmetic number, because the mean of its divisors is an integer number (132959736).
Almost surely, 210414093536 is an apocalyptic number.
10414093536 is a gapful number since it is divisible by the number (16) 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 10414093536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19146201984).
10414093536 is an abundant number, since it is smaller than the sum of its proper divisors (27878310432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10414093536 is a wasteful number, since it uses less digits than its factorization.
10414093536 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17436 (or 17416 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The spelling of 10414093536 in words is "ten billion, four hundred fourteen million, ninety-three thousand, five hundred thirty-six".
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