Search a number
-
+
28182687129 = 342328112
BaseRepresentation
bin11010001111110100…
…011010110110011001
32200202002200211210000
4122033310122312121
5430204231442004
620540312443213
72015251613412
oct321764326631
980662624700
1028182687129
1110a52434a73
1255663a9509
132871a22a3c
141514d46809
15aee300c39
hex68fd1ad99

28182687129 has 45 divisors (see below), whose sum is σ = 44064418629. Its totient is φ = 17949408840.

The previous prime is 28182687119. The next prime is 28182687131. The reversal of 28182687129 is 92178628182.

The square root of 28182687129 is 167877.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 28182687129 - 221 = 28180589977 is a prime.

It is a super-2 number, since 2×281826871292 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28182687119) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 34750134 + ... + 34750944.

Almost surely, 228182687129 is an apocalyptic number.

28182687129 is the 167877-th square number.

28182687129 is the 83939-th centered octagonal number.

It is an amenable number.

28182687129 is a deficient number, since it is larger than the sum of its proper divisors (15881731500).

28182687129 is an frugal number, since it uses more digits than its factorization.

28182687129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 837 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The spelling of 28182687129 in words is "twenty-eight billion, one hundred eighty-two million, six hundred eighty-seven thousand, one hundred twenty-nine".

Divisors: 1 3 9 23 27 69 81 207 529 621 811 1587 1863 2433 4761 7299 14283 18653 21897 42849 55959 65691 167877 429019 503631 657721 1287057 1510893 1973163 3861171 5919489 11583513 15127583 17758467 34750539 45382749 53275401 136148247 347934409 408444741 1043803227 1225334223 3131409681 9394229043 28182687129