Search a number
-
+
18385223056128 = 2833172931269647
BaseRepresentation
bin1000010111000101001001…
…01100000111101100000000
32102002121110210202111111000
410023202210230013230000
54402210414100244003
6103034015504052000
73605200652330535
oct413424454075400
972077423674430
1018385223056128
115949147127a45
12208b21a004000
13a34946b0c436
14477bc7210d8c
1521d39634d1a3
hex10b8a4b07b00

18385223056128 has 1152 divisors, whose sum is σ = 61796431872000. Its totient is φ = 5361040097280.

The previous prime is 18385223056121. The next prime is 18385223056153. The reversal of 18385223056128 is 82165032258381.

It is a happy number.

18385223056128 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 5 + 22 + 30 + 561 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18385223056121) 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 127 ways as a sum of consecutive naturals, for example, 28416109501 + ... + 28416110147.

It is an arithmetic number, because the mean of its divisors is an integer number (53642736000).

Almost surely, 218385223056128 is an apocalyptic number.

18385223056128 is a gapful number since it is divisible by the number (18) 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 18385223056128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30898215936000).

18385223056128 is an abundant number, since it is smaller than the sum of its proper divisors (43411208815872).

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

18385223056128 is a wasteful number, since it uses less digits than its factorization.

18385223056128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 18385223056128 in words is "eighteen trillion, three hundred eighty-five billion, two hundred twenty-three million, fifty-six thousand, one hundred twenty-eight".