Base | Representation |
---|---|
bin | 11110001011110011111… |
… | …11101011001000111101 |
3 | 10200011000122022121210000 |
4 | 33011321333223020331 |
5 | 113443022231300440 |
6 | 2112241441504513 |
7 | 134634100203600 |
oct | 17057177531075 |
9 | 3604018277700 |
10 | 1037133853245 |
11 | 36a934027506 |
12 | 149006042139 |
13 | 76a55601179 |
14 | 382aa0d2337 |
15 | 1bea17e9730 |
hex | f179feb23d |
1037133853245 has 120 divisors (see below), whose sum is σ = 2171120368824. Its totient is φ = 472271192064.
The previous prime is 1037133853229. The next prime is 1037133853247. The reversal of 1037133853245 is 5423583317301.
1037133853245 is a `hidden beast` number, since 1 + 0 + 3 + 71 + 3 + 3 + 8 + 532 + 45 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 123270507801 + 913863345444 = 351099^2 + 955962^2 .
It is not a de Polignac number, because 1037133853245 - 24 = 1037133853229 is a prime.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a self number, because there is not a number n which added to its sum of digits gives 1037133853245.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1037133853247) by changing a digit.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4998489 + ... + 5201841.
Almost surely, 21037133853245 is an apocalyptic number.
1037133853245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
It is an amenable number.
1037133853245 is an abundant number, since it is smaller than the sum of its proper divisors (1133986515579).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1037133853245 is a wasteful number, since it uses less digits than its factorization.
1037133853245 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 203641 (or 203625 counting only the distinct ones).
The product of its (nonzero) digits is 907200, while the sum is 45.
The spelling of 1037133853245 in words is "one trillion, thirty-seven billion, one hundred thirty-three million, eight hundred fifty-three thousand, two hundred forty-five".
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