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18057222144 = 2113213179421
BaseRepresentation
bin10000110100010010…
…110101100000000000
31201121102211221001100
4100310102311200000
5243440122102034
612143444534400
71206321566343
oct206422654000
951542757040
1018057222144
117726916295
1235bb3b1400
13191a047040
14c3428445a
1570a40d099
hex4344b5800

18057222144 has 288 divisors, whose sum is σ = 56612228400. Its totient is φ = 5511905280.

The previous prime is 18057222143. The next prime is 18057222217. The reversal of 18057222144 is 44122275081.

18057222144 is a `hidden beast` number, since 1 + 80 + 572 + 2 + 2 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 18057222099 and 18057222108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18057222143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42891054 + ... + 42891474.

Almost surely, 218057222144 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 18057222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28306114200).

18057222144 is an abundant number, since it is smaller than the sum of its proper divisors (38555006256).

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

18057222144 is a wasteful number, since it uses less digits than its factorization.

18057222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 18057222144 in words is "eighteen billion, fifty-seven million, two hundred twenty-two thousand, one hundred forty-four".