| Base | Representation |
|---|---|
| bin | 10011001010000101… |
| … | …10010101110000000 |
| 3 | 222112210100112120100 |
| 4 | 21211002302232000 |
| 5 | 132031000243230 |
| 6 | 4420330442400 |
| 7 | 512606315034 |
| oct | 114502625600 |
| 9 | 28483315510 |
| 10 | 10285165440 |
| 11 | 43a8787030 |
| 12 | 1bb0593400 |
| 13 | c7bac3014 |
| 14 | 6d7d941c4 |
| 15 | 402e3b660 |
| hex | 2650b2b80 |
10285165440 has 384 divisors, whose sum is σ = 38952576000. Its totient is φ = 2480025600.
The previous prime is 10285165417. The next prime is 10285165441. The reversal of 10285165440 is 4456158201.
It is a happy number.
10285165440 is a `hidden beast` number, since 102 + 8 + 5 + 1 + 6 + 544 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 10285165395 and 10285165404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10285165441) 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 47 ways as a sum of consecutive naturals, for example, 17170261 + ... + 17170859.
It is an arithmetic number, because the mean of its divisors is an integer number (101439000).
Almost surely, 210285165440 is an apocalyptic number.
10285165440 is a gapful number since it is divisible by the number (10) 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 10285165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19476288000).
10285165440 is an abundant number, since it is smaller than the sum of its proper divisors (28667410560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10285165440 is a wasteful number, since it uses less digits than its factorization.
10285165440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 906 (or 891 counting only the distinct ones).
The product of its (nonzero) digits is 38400, while the sum is 36.
The spelling of 10285165440 in words is "ten billion, two hundred eighty-five million, one hundred sixty-five thousand, four hundred forty".
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