| Base | Representation |
|---|---|
| bin | 10011100100011011… |
| … | …10100111101100000 |
| 3 | 1000010012012022212201 |
| 4 | 21302031310331200 |
| 5 | 133004034141031 |
| 6 | 4454303302544 |
| 7 | 521231621650 |
| oct | 116215647540 |
| 9 | 30105168781 |
| 10 | 10506162016 |
| 11 | 4501500029 |
| 12 | 20525aaa54 |
| 13 | cb581c21c |
| 14 | 719480360 |
| 15 | 417541d61 |
| hex | 272374f60 |
10506162016 has 96 divisors (see below), whose sum is σ = 24211353600. Its totient is φ = 4394497536.
The previous prime is 10506162013. The next prime is 10506162031. The reversal of 10506162016 is 61026160501.
10506162016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×105061620163 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10506162011) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 2360305 + ... + 2364751.
It is an arithmetic number, because the mean of its divisors is an integer number (252201600).
Almost surely, 210506162016 is an apocalyptic number.
10506162016 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 10506162016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12105676800).
10506162016 is an abundant number, since it is smaller than the sum of its proper divisors (13705191584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10506162016 is a wasteful number, since it uses less digits than its factorization.
10506162016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4716 (or 4708 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 28.
The spelling of 10506162016 in words is "ten billion, five hundred six million, one hundred sixty-two thousand, sixteen".
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