Base | Representation |
---|---|
bin | 11111000010100011010… |
… | …000001111110011000100 |
3 | 21112220202102012111021201 |
4 | 133002203100033303010 |
5 | 234421432414132121 |
6 | 4311523432152244 |
7 | 310051534000000 |
oct | 37024320176304 |
9 | 7486672174251 |
10 | 2133042724036 |
11 | 752689011584 |
12 | 2a5493838684 |
13 | 1261b692bb13 |
14 | 753500c3700 |
15 | 3a743023e91 |
hex | 1f0a340fcc4 |
2133042724036 has 63 divisors (see below), whose sum is σ = 4357003442029. Its totient is φ = 913731782208.
The previous prime is 2133042724009. The next prime is 2133042724037. The reversal of 2133042724036 is 6304272403312.
The square root of 2133042724036 is 1460494.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 539792906436 + 1593249817600 = 734706^2 + 1262240^2 .
It is a junction number, because it is equal to n+sod(n) for n = 2133042723986 and 2133042724004.
It is not an unprimeable number, because it can be changed into a prime (2133042724037) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1001897820 + ... + 1001899948.
Almost surely, 22133042724036 is an apocalyptic number.
2133042724036 is the 1460494-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2133042724036
2133042724036 is an abundant number, since it is smaller than the sum of its proper divisors (2223960717993).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2133042724036 is an frugal number, since it uses more digits than its factorization.
2133042724036 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4304 (or 2138 counting only the distinct ones).
The product of its (nonzero) digits is 145152, while the sum is 37.
The spelling of 2133042724036 in words is "two trillion, one hundred thirty-three billion, forty-two million, seven hundred twenty-four thousand, thirty-six".
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