Search a number
-
+
28279712180 = 22531212132
BaseRepresentation
bin11010010101100110…
…100010100110110100
32200222212021020010102
4122111212202212310
5430404101242210
620554100213232
72020540405316
oct322546424664
980885236112
1028279712180
1110aa2184365
12559299a218
132888b64405
141523ba17b6
15b07ab8ea5
hex6959a29b4

28279712180 has 54 divisors (see below), whose sum is σ = 61415546598. Its totient is φ = 10937960640.

The previous prime is 28279712171. The next prime is 28279712191. The reversal of 28279712180 is 8121797282.

It can be written as a sum of positive squares in 3 ways, for example, as 1872812176 + 26406900004 = 43276^2 + 162502^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23313254 + ... + 23314466.

It is an arithmetic number, because the mean of its divisors is an integer number (1137324937).

Almost surely, 228279712180 is an apocalyptic number.

28279712180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28279712180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30707773299).

28279712180 is an abundant number, since it is smaller than the sum of its proper divisors (33135834418).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28279712180 is an equidigital number, since it uses as much as digits as its factorization.

28279712180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 47.

The spelling of 28279712180 in words is "twenty-eight billion, two hundred seventy-nine million, seven hundred twelve thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 961 1213 1922 2426 3844 4805 4852 6065 9610 12130 19220 24260 37603 75206 150412 188015 376030 752060 1165693 1471369 2331386 2942738 4662772 5828465 5885476 7356845 11656930 14713690 23313860 29427380 45612439 91224878 182449756 228062195 456124390 912248780 1413985609 2827971218 5655942436 7069928045 14139856090 28279712180