Base | Representation |
---|---|
bin | 1000000000100000… |
… | …0100101000000000 |
3 | 12112210211222111100 |
4 | 2000020010220000 |
5 | 13400244142434 |
6 | 553145214400 |
7 | 104161203435 |
oct | 20010045000 |
9 | 5483758440 |
10 | 2149599744 |
11 | a03436116 |
12 | 4bba91400 |
13 | 283466016 |
14 | 1656bbb8c |
15 | c8ab3699 |
hex | 80204a00 |
2149599744 has 120 divisors (see below), whose sum is σ = 6222176532. Its totient is φ = 714424320.
The previous prime is 2149599743. The next prime is 2149599761. The reversal of 2149599744 is 4479959412.
2149599744 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 599 + 7 + 44 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 1191078144 + 958521600 = 34512^2 + 30960^2 .
It is not an unprimeable number, because it can be changed into a prime (2149599743) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2824324 + ... + 2825084.
Almost surely, 22149599744 is an apocalyptic number.
2149599744 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 2149599744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111088266).
2149599744 is an abundant number, since it is smaller than the sum of its proper divisors (4072576788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2149599744 is an equidigital number, since it uses as much as digits as its factorization.
2149599744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1398 (or 1379 counting only the distinct ones).
The product of its digits is 3265920, while the sum is 54.
The square root of 2149599744 is about 46363.7762051367. The cubic root of 2149599744 is about 1290.5827833682.
The spelling of 2149599744 in words is "two billion, one hundred forty-nine million, five hundred ninety-nine thousand, seven hundred forty-four".
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