Search a number
-
+
166528832720 = 2458923388881
BaseRepresentation
bin1001101100010111100…
…1000101010011010000
3120220211200101012210012
42123011321011103100
510212022340121340
6204300254454052
715013511502635
oct2330571052320
9526750335705
10166528832720
1164696203888
1228336204328
131291ba74353
1480baa6218c
1544e9c36565
hex26c5e454d0

166528832720 has 40 divisors (see below), whose sum is σ = 391529884680. Its totient is φ = 65863086080.

The previous prime is 166528832683. The next prime is 166528832737. The reversal of 166528832720 is 27238825661.

166528832720 is digitally balanced in base 3, 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 4 ways, for example, as 2205617296 + 164323215424 = 46964^2 + 405368^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 11687321 + ... + 11701560.

It is an arithmetic number, because the mean of its divisors is an integer number (9788247117).

Almost surely, 2166528832720 is an apocalyptic number.

166528832720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166528832720 is an abundant number, since it is smaller than the sum of its proper divisors (225001051960).

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

166528832720 is a wasteful number, since it uses less digits than its factorization.

166528832720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23388983 (or 23388977 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 166528832720 in words is "one hundred sixty-six billion, five hundred twenty-eight million, eight hundred thirty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 23388881 46777762 93555524 116944405 187111048 233888810 374222096 467777620 935555240 1871110480 2081610409 4163220818 8326441636 10408052045 16652883272 20816104090 33305766544 41632208180 83264416360 166528832720