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4081019168 = 252324912
BaseRepresentation
bin1111001100111111…
…0110100100100000
3101112102011020212002
43303033312210200
531324220103133
61512542223132
7203063043032
oct36317664440
911472136762
104081019168
1118046a1116
1295a884aa8
1350064a955
142aa003c52
1518d42ace8
hexf33f6920

4081019168 has 54 divisors (see below), whose sum is σ = 8416161747. Its totient is φ = 1947816640.

The previous prime is 4081019147. The next prime is 4081019183. The reversal of 4081019168 is 8619101804.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 2040509584 + 2040509584 = 45172^2 + 45172^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=45172.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 8311403 + ... + 8311893.

Almost surely, 24081019168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4081019168

4081019168 is an abundant number, since it is smaller than the sum of its proper divisors (4335142579).

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

4081019168 is an frugal number, since it uses more digits than its factorization.

4081019168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 38.

The square root of 4081019168 is about 63882.8550395174. The cubic root of 4081019168 is about 1598.0469878931.

The spelling of 4081019168 in words is "four billion, eighty-one million, nineteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 491 529 736 982 1058 1964 2116 3928 4232 7856 8464 11293 15712 16928 22586 45172 90344 180688 241081 259739 361376 482162 519478 964324 1038956 1928648 2077912 3857296 4155824 5544863 7714592 8311648 11089726 22179452 44358904 88717808 127531849 177435616 255063698 510127396 1020254792 2040509584 4081019168