Base | Representation |
---|---|
bin | 111111101100000… |
… | …0101101010000000 |
3 | 12111221011220210000 |
4 | 1333120011222000 |
5 | 13334034133211 |
6 | 552015440000 |
7 | 103646244042 |
oct | 17730055200 |
9 | 5457156700 |
10 | 2137021056 |
11 | 9a7324605 |
12 | 4b7826000 |
13 | 280980801 |
14 | 163b65a92 |
15 | c792b656 |
hex | 7f605a80 |
2137021056 has 160 divisors (see below), whose sum is σ = 6481401300. Its totient is φ = 698720256.
The previous prime is 2137021037. The next prime is 2137021063. The reversal of 2137021056 is 6501207312.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 2025000000 + 112021056 = 45000^2 + 10584^2 .
It is a super-3 number, since 3×21370210563 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 547560 + ... + 551448.
Almost surely, 22137021056 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 2137021056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240700650).
2137021056 is an abundant number, since it is smaller than the sum of its proper divisors (4344380244).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2137021056 is an equidigital number, since it uses as much as digits as its factorization.
2137021056 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3968 (or 3947 counting only the distinct ones).
The product of its (nonzero) digits is 2520, while the sum is 27.
The square root of 2137021056 is about 46227.9250669982. The cubic root of 2137021056 is about 1288.0605143694.
Adding to 2137021056 its reverse (6501207312), we get a palindrome (8638228368).
The spelling of 2137021056 in words is "two billion, one hundred thirty-seven million, twenty-one thousand, fifty-six".
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