Search a number
-
+
18903483648 = 283371920563
BaseRepresentation
bin10001100110101111…
…000100010100000000
31210210102020110121000
4101212233010110000
5302203242434043
612403435132000
71236305650140
oct214657042400
953712213530
1018903483648
118020584065
1237b68a4000
131a234767aa
14cb4812920
157598722d3
hex466bc4500

18903483648 has 288 divisors, whose sum is σ = 67252505600. Its totient is φ = 5116483584.

The previous prime is 18903483647. The next prime is 18903483653. The reversal of 18903483648 is 84638430981.

18903483648 is a `hidden beast` number, since 18 + 90 + 3 + 483 + 64 + 8 = 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 18903483594 and 18903483603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18903483647) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 909015 + ... + 929577.

Almost surely, 218903483648 is an apocalyptic number.

18903483648 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 18903483648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33626252800).

18903483648 is an abundant number, since it is smaller than the sum of its proper divisors (48349021952).

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

18903483648 is a wasteful number, since it uses less digits than its factorization.

18903483648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20614 (or 20594 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 18903483648 in words is "eighteen billion, nine hundred three million, four hundred eighty-three thousand, six hundred forty-eight".