Base | Representation |
---|---|
bin | 111111000101110… |
… | …0011111000000000 |
3 | 12110112102200211110 |
4 | 1332023203320000 |
5 | 13313420202434 |
6 | 550021443320 |
7 | 103313601204 |
oct | 17613437000 |
9 | 5415380743 |
10 | 2116959744 |
11 | 996a72209 |
12 | 4b0b70540 |
13 | 279778503 |
14 | 161222b04 |
15 | c5cb74e9 |
hex | 7e2e3e00 |
2116959744 has 160 divisors (see below), whose sum is σ = 6077896704. Its totient is φ = 652861440.
The previous prime is 2116959673. The next prime is 2116959749. The reversal of 2116959744 is 4479596112.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a junction number, because it is equal to n+sod(n) for n = 2116959693 and 2116959702.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2116959749) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1094202 + ... + 1096134.
Almost surely, 22116959744 is an apocalyptic number.
2116959744 is a gapful number since it is divisible by the number (24) 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 2116959744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038948352).
2116959744 is an abundant number, since it is smaller than the sum of its proper divisors (3960936960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2116959744 is a wasteful number, since it uses less digits than its factorization.
2116959744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2008 (or 1992 counting only the distinct ones).
The product of its digits is 544320, while the sum is 48.
The square root of 2116959744 is about 46010.4308173701. The cubic root of 2116959744 is about 1284.0172744447.
The spelling of 2116959744 in words is "two billion, one hundred sixteen million, nine hundred fifty-nine thousand, seven hundred forty-four".
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