Search a number
-
+
6660066600 = 23325211379091
BaseRepresentation
bin1100011001111100…
…01000110100101000
3122012011002102211100
412030332020310220
5102114434112400
63020512201400
7324020426535
oct61476106450
918164072740
106660066600
112908485680
12135a539260
13821a65a15
1447274dd8c
1528ea6d100
hex18cf88d28

6660066600 has 288 divisors, whose sum is σ = 25062279840. Its totient is φ = 1570752000.

The previous prime is 6660066577. The next prime is 6660066607. The reversal of 6660066600 is 66600666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (6660066607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 728055 + ... + 737145.

It is an arithmetic number, because the mean of its divisors is an integer number (87021805).

Almost surely, 26660066600 is an apocalyptic number.

6660066600 is a gapful number since it is divisible by the number (60) 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 6660066600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12531139920).

6660066600 is an abundant number, since it is smaller than the sum of its proper divisors (18402213240).

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

6660066600 is a wasteful number, since it uses less digits than its factorization.

6660066600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9161 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 6660066600 is about 81609.2310955078. The cubic root of 6660066600 is about 1881.4507626348.

6660066600 divided by its reverse (66600666) gives a square (100 = 102).

It can be divided in two parts, 6660066 and 600, that added together give a palindrome (6660666).

The spelling of 6660066600 in words is "six billion, six hundred sixty million, sixty-six thousand, six hundred".