Search a number
-
+
18722340000 = 253454713127
BaseRepresentation
bin10001011011111100…
…000011110010100000
31210022210101102020000
4101123330003302200
5301320404340000
612333444420000
71231646156430
oct213374036240
953283342200
1018722340000
117a38300171
1237660a7600
1319c4a921c0
14c9873c2c0
157489e0000
hex45bf03ca0

18722340000 has 1200 divisors, whose sum is σ = 85350279168. Its totient is φ = 3919104000.

The previous prime is 18722339971. The next prime is 18722340011. The reversal of 18722340000 is 4322781.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 147419937 + ... + 147420063.

Almost surely, 218722340000 is an apocalyptic number.

18722340000 is a gapful number since it is divisible by the number (10) 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 18722340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42675139584).

18722340000 is an abundant number, since it is smaller than the sum of its proper divisors (66627939168).

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

18722340000 is a wasteful number, since it uses less digits than its factorization.

18722340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 18722340000 its reverse (4322781), we get a palindrome (18726662781).

The spelling of 18722340000 in words is "eighteen billion, seven hundred twenty-two million, three hundred forty thousand".