Base | Representation |
---|---|
bin | 10010011111010010… |
… | …01111000001110100 |
3 | 221121202210100220021 |
4 | 21033221033001310 |
5 | 130312043102431 |
6 | 4320543414524 |
7 | 500656555450 |
oct | 111751170164 |
9 | 27552710807 |
10 | 9926144116 |
11 | 423405aa99 |
12 | 1b102b4444 |
13 | c225cb875 |
14 | 6a2419660 |
15 | 3d166eb11 |
hex | 24fa4f074 |
9926144116 has 48 divisors (see below), whose sum is σ = 20412725760. Its totient is φ = 4134746880.
The previous prime is 9926144113. The next prime is 9926144147. The reversal of 9926144116 is 6114416299.
9926144116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9926144113) 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, 292741 + ... + 324883.
It is an arithmetic number, because the mean of its divisors is an integer number (425265120).
Almost surely, 29926144116 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 9926144116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10206362880).
9926144116 is an abundant number, since it is smaller than the sum of its proper divisors (10486581644).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9926144116 is a wasteful number, since it uses less digits than its factorization.
9926144116 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32464 (or 32462 counting only the distinct ones).
The product of its digits is 93312, while the sum is 43.
The square root of 9926144116 is about 99630.0362139852. The cubic root of 9926144116 is about 2149.1176560420.
It can be divided in two parts, 99261 and 44116, that multiplied together give a square (4378998276 = 661742).
The spelling of 9926144116 in words is "nine billion, nine hundred twenty-six million, one hundred forty-four thousand, one hundred sixteen".
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