Search a number
-
+
106024022849 = 1371580948953
BaseRepresentation
bin110001010111110000…
…1100011001101000001
3101010122222220102002002
41202233201203031001
53214114122212344
6120412354433345
710442242216223
oct1425741431501
9333588812062
10106024022849
1140a67884688
121866b292855
139cc88699c4
1451bb124413
152b5801a44e
hex18af863341

106024022849 has 8 divisors (see below), whose sum is σ = 106806858120. Its totient is φ = 105241317376.

The previous prime is 106024022843. The next prime is 106024022899. The reversal of 106024022849 is 948220420601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1604563249 + 104419459600 = 40057^2 + 323140^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106024022849 - 224 = 106007245633 is a prime.

It is a super-2 number, since 2×1060240228492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106024022843) 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, 2141357 + ... + 2190309.

It is an arithmetic number, because the mean of its divisors is an integer number (13350857265).

Almost surely, 2106024022849 is an apocalyptic number.

It is an amenable number.

106024022849 is a deficient number, since it is larger than the sum of its proper divisors (782835271).

106024022849 is a wasteful number, since it uses less digits than its factorization.

106024022849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64899.

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 106024022849 in words is "one hundred six billion, twenty-four million, twenty-two thousand, eight hundred forty-nine".

Divisors: 1 137 15809 48953 2165833 6706561 773897977 106024022849