Base | Representation |
---|---|
bin | 100010100110000001… |
… | …011011000000001000 |
3 | 10112212201010001200100 |
4 | 202212001123000020 |
5 | 1102033123111333 |
6 | 25021513005400 |
7 | 2453330246433 |
oct | 424601330010 |
9 | 115781101610 |
10 | 37145128968 |
11 | 148315031a2 |
12 | 72479b3860 |
13 | 366c782a6c |
14 | 1b2538281a |
15 | e7605e213 |
hex | 8a605b008 |
37145128968 has 48 divisors (see below), whose sum is σ = 100621719900. Its totient is φ = 12379207680.
The previous prime is 37145128949. The next prime is 37145128981. The reversal of 37145128968 is 86982154173.
37145128968 is a `hidden beast` number, since 37 + 1 + 4 + 512 + 8 + 96 + 8 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 35918588484 + 1226540484 = 189522^2 + 35022^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325528 + ... + 424568.
Almost surely, 237145128968 is an apocalyptic number.
It is an amenable number.
37145128968 is an abundant number, since it is smaller than the sum of its proper divisors (63476590932).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37145128968 is a wasteful number, since it uses less digits than its factorization.
37145128968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 104262 (or 104255 counting only the distinct ones).
The product of its digits is 2903040, while the sum is 54.
The spelling of 37145128968 in words is "thirty-seven billion, one hundred forty-five million, one hundred twenty-eight thousand, nine hundred sixty-eight".
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