Base | Representation |
---|---|
bin | 100011000101111010… |
… | …111111011100100100 |
3 | 10121021000011021201200 |
4 | 203011322333130210 |
5 | 1104132130023043 |
6 | 25150551522500 |
7 | 2502516246201 |
oct | 430572773444 |
9 | 117230137650 |
10 | 37680314148 |
11 | 14a866117a4 |
12 | 7377089430 |
13 | 3726606c99 |
14 | 1b76496ca8 |
15 | ea80277d3 |
hex | 8c5ebf724 |
37680314148 has 72 divisors (see below), whose sum is σ = 96934863480. Its totient is φ = 12338127360.
The previous prime is 37680314141. The next prime is 37680314171. The reversal of 37680314148 is 84141308673.
It can be written as a sum of positive squares in 4 ways, for example, as 381889764 + 37298424384 = 19542^2 + 193128^2 .
It is not an unprimeable number, because it can be changed into a prime (37680314141) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1739448 + ... + 1760976.
Almost surely, 237680314148 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 37680314148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48467431740).
37680314148 is an abundant number, since it is smaller than the sum of its proper divisors (59254549332).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37680314148 is a wasteful number, since it uses less digits than its factorization.
37680314148 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 22397 (or 22392 counting only the distinct ones).
The product of its (nonzero) digits is 387072, while the sum is 45.
The spelling of 37680314148 in words is "thirty-seven billion, six hundred eighty million, three hundred fourteen thousand, one hundred forty-eight".
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