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166424441220 = 22325924580229
BaseRepresentation
bin1001101011111110101…
…0110111000110000100
3120220120101221120120100
42122333222313012010
510211314124104340
6204242045204100
715011103260352
oct2327752670604
9526511846510
10166424441220
1164642292a14
1228307260630
1312903253a2b
1480aac4a7d2
1544e09b5830
hex26bfab7184

166424441220 has 36 divisors (see below), whose sum is σ = 504820805580. Its totient is φ = 44379850944.

The previous prime is 166424441213. The next prime is 166424441257. The reversal of 166424441220 is 22144424661.

166424441220 is a `hidden beast` number, since 1 + 6 + 6 + 424 + 4 + 4 + 1 + 220 = 666.

166424441220 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 2 ways, for example, as 53516344896 + 112908096324 = 231336^2 + 336018^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 462289935 + ... + 462290294.

It is an arithmetic number, because the mean of its divisors is an integer number (14022800155).

Almost surely, 2166424441220 is an apocalyptic number.

166424441220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166424441220 is an abundant number, since it is smaller than the sum of its proper divisors (338396364360).

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

166424441220 is a wasteful number, since it uses less digits than its factorization.

166424441220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924580244 (or 924580239 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 166424441220 its reverse (22144424661), we get a palindrome (188568865881).

It can be divided in two parts, 166424441 and 220, that added together give a palindrome (166424661).

The spelling of 166424441220 in words is "one hundred sixty-six billion, four hundred twenty-four million, four hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 924580229 1849160458 2773740687 3698320916 4622901145 5547481374 8321222061 9245802290 11094962748 13868703435 16642444122 18491604580 27737406870 33284888244 41606110305 55474813740 83212220610 166424441220