Search a number
-
+
18676123648 = 211713234357
BaseRepresentation
bin10001011001001011…
…110000100000000000
31210012120102101022021
4101121023300200000
5301222041424043
612325114051224
71230545301040
oct213113604000
953176371267
1018676123648
117a14204136
123752719b14
1319b8330050
14c9254b720
157449113ed
hex4592f0800

18676123648 has 192 divisors, whose sum is σ = 47970074880. Its totient is φ = 7065501696.

The previous prime is 18676123639. The next prime is 18676123673. The reversal of 18676123648 is 84632167681.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 18676123595 and 18676123604.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4284286 + ... + 4288642.

It is an arithmetic number, because the mean of its divisors is an integer number (249844140).

Almost surely, 218676123648 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 18676123648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23985037440).

18676123648 is an abundant number, since it is smaller than the sum of its proper divisors (29293951232).

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

18676123648 is a wasteful number, since it uses less digits than its factorization.

18676123648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422 (or 4402 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 52.

The spelling of 18676123648 in words is "eighteen billion, six hundred seventy-six million, one hundred twenty-three thousand, six hundred forty-eight".