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4842018000 = 243105341
BaseRepresentation
bin1001000001001101…
…10101010011010000
3110111110010000000000
410200212311103100
534404024034000
62120245130000
7230663321361
oct44046652320
913443100000
104842018000
112065213876
12b316b9900
135c21c6811
1433d0d9b68
151d514c000
hex1209b54d0

4842018000 has 440 divisors, whose sum is σ = 17990239176. Its totient is φ = 1259712000.

The previous prime is 4842017981. The next prime is 4842018017. The reversal of 4842018000 is 8102484.

4842018000 is a `hidden beast` number, since 484 + 2 + 0 + 180 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1092170304 + 3749847696 = 33048^2 + 61236^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 87 ways as a sum of consecutive naturals, for example, 118097980 + ... + 118098020.

Almost surely, 24842018000 is an apocalyptic number.

4842018000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4842018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8995119588).

4842018000 is an abundant number, since it is smaller than the sum of its proper divisors (13148221176).

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

4842018000 is an frugal number, since it uses more digits than its factorization.

4842018000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4842018000 is about 69584.6103675231. The cubic root of 4842018000 is about 1691.7731701357.

The spelling of 4842018000 in words is "four billion, eight hundred forty-two million, eighteen thousand".