Base | Representation |
---|---|
bin | 10000110111111101010000… |
… | …01100111110010011010000 |
3 | 11212101101202201122212201010 |
4 | 20123332220030332103100 |
5 | 14330430211334141334 |
6 | 210530424010410520 |
7 | 10546616103406551 |
oct | 1033765014762320 |
9 | 155341681585633 |
10 | 37107044443344 |
11 | 10907011233aa7 |
12 | 41b3716130a40 |
13 | 1792243b41385 |
14 | 923dc204c328 |
15 | 44538cdaa0e9 |
hex | 21bfa833e4d0 |
37107044443344 has 20 divisors (see below), whose sum is σ = 95859864812096. Its totient is φ = 12369014814432.
The previous prime is 37107044443319. The next prime is 37107044443351. The reversal of 37107044443344 is 44334444070173.
37107044443344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×371070444433443 (a number of 42 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 773063425903 = 37107044443344 / (3 + 7 + 1 + 0 + 7 + 0 + 4 + 4 + 4 + 4 + 3 + 3 + 4 + 4).
It is a junction number, because it is equal to n+sod(n) for n = 37107044443293 and 37107044443302.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 386531712904 + ... + 386531712999.
Almost surely, 237107044443344 is an apocalyptic number.
It is an amenable number.
37107044443344 is an abundant number, since it is smaller than the sum of its proper divisors (58752820368752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37107044443344 is a wasteful number, since it uses less digits than its factorization.
37107044443344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 773063425914 (or 773063425908 counting only the distinct ones).
The product of its (nonzero) digits is 5419008, while the sum is 48.
The spelling of 37107044443344 in words is "thirty-seven trillion, one hundred seven billion, forty-four million, four hundred forty-three thousand, three hundred forty-four".
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