Search a number
-
+
166210132240 = 2454574546229
BaseRepresentation
bin1001101011001011100…
…1010101100100010000
3120220000110200112220201
42122302321111210100
510210344243212430
6204204511544544
715002561546005
oct2326271254420
9526013615821
10166210132240
1164542317459
122826752b154
131289aa29799
14808a5c18ac
1544cbc818ca
hex26b2e55910

166210132240 has 40 divisors (see below), whose sum is σ = 387284241240. Its totient is φ = 66338558976.

The previous prime is 166210132229. The next prime is 166210132241. The reversal of 166210132240 is 42231012661.

It can be written as a sum of positive squares in 4 ways, for example, as 20847894544 + 145362237696 = 144388^2 + 381264^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 166210132199 and 166210132208.

It is not an unprimeable number, because it can be changed into a prime (166210132241) by changing a digit.

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, 2236555 + ... + 2309674.

It is an arithmetic number, because the mean of its divisors is an integer number (9682106031).

Almost surely, 2166210132240 is an apocalyptic number.

166210132240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166210132240 is an abundant number, since it is smaller than the sum of its proper divisors (221074109000).

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

166210132240 is a wasteful number, since it uses less digits than its factorization.

166210132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546699 (or 4546693 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 166210132240 in words is "one hundred sixty-six billion, two hundred ten million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 457 914 1828 2285 3656 4570 7312 9140 18280 36560 4546229 9092458 18184916 22731145 36369832 45462290 72739664 90924580 181849160 363698320 2077626653 4155253306 8310506612 10388133265 16621013224 20776266530 33242026448 41552533060 83105066120 166210132240