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4381631316 = 2232373289513
BaseRepresentation
bin1000001010010101…
…00110001101010100
3102022100210221012100
410011022212031110
532433144200231
62002441322100
7213403152216
oct40512461524
912270727170
104381631316
111949353507
12a23496330
1354aa0126a
142d7cd65b6
151a9a0b1e6
hex1052a6354

4381631316 has 36 divisors (see below), whose sum is σ = 11375139412. Its totient is φ = 1421069184.

The previous prime is 4381631311. The next prime is 4381631347. The reversal of 4381631316 is 6131361834.

4381631316 is a `hidden beast` number, since 4 + 3 + 8 + 1 + 631 + 3 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2241643716 + 2139987600 = 47346^2 + 46260^2 .

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4381631311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1643425 + ... + 1646088.

Almost surely, 24381631316 is an apocalyptic number.

It is an amenable number.

4381631316 is an abundant number, since it is smaller than the sum of its proper divisors (6993508096).

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

4381631316 is a wasteful number, since it uses less digits than its factorization.

4381631316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289560 (or 3289555 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 4381631316 is about 66193.8918330083. The cubic root of 4381631316 is about 1636.3590798223.

The spelling of 4381631316 in words is "four billion, three hundred eighty-one million, six hundred thirty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 3289513 6579026 9868539 13158052 19737078 29605617 39474156 59211234 118422468 121711981 243423962 365135943 486847924 730271886 1095407829 1460543772 2190815658 4381631316