Base | Representation |
---|---|
bin | 100010101100001001… |
… | …001111011011011001 |
3 | 10120010212101102111001 |
4 | 202230021033123121 |
5 | 1102240421421014 |
6 | 25040022305001 |
7 | 2456015301400 |
oct | 425411173331 |
9 | 116125342431 |
10 | 37247842009 |
11 | 14884488004 |
12 | 7276288161 |
13 | 3687b36401 |
14 | 1b34c7c637 |
15 | e8009c974 |
hex | 8ac24f6d9 |
37247842009 has 27 divisors (see below), whose sum is σ = 44010638847. Its totient is φ = 31432263408.
The previous prime is 37247842007. The next prime is 37247842057. The reversal of 37247842009 is 90024874273.
The square root of 37247842009 is 192997.
It is a perfect power (a square), and thus also a powerful number.
37247842009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 27339630409 + 9908211600 = 165347^2 + 99540^2 .
It is not a de Polignac number, because 37247842009 - 21 = 37247842007 is a prime.
It is a self number, because there is not a number n which added to its sum of digits gives 37247842009.
It is not an unprimeable number, because it can be changed into a prime (37247842007) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106727167 + ... + 106727515.
It is an arithmetic number, because the mean of its divisors is an integer number (1630023661).
Almost surely, 237247842009 is an apocalyptic number.
37247842009 is the 192997-th square number.
37247842009 is the 96499-th centered octagonal number.
It is an amenable number.
37247842009 is a deficient number, since it is larger than the sum of its proper divisors (6762796838).
37247842009 is an frugal number, since it uses more digits than its factorization.
37247842009 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 870 (or 435 counting only the distinct ones).
The product of its (nonzero) digits is 677376, while the sum is 46.
The spelling of 37247842009 in words is "thirty-seven billion, two hundred forty-seven million, eight hundred forty-two thousand, nine".
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