Search a number
-
+
18252000000 = 283356132
BaseRepresentation
bin10000111111111001…
…110110101100000000
31202010000100200001000
4100333321312230000
5244340003000000
612215043412000
71214205303663
oct207771665400
952100320030
1018252000000
117816861823
123654684000
13194b4c3400
14c520a76da
1571c585000
hex43fe76b00

18252000000 has 756 divisors, whose sum is σ = 73056096120. Its totient is φ = 4492800000.

The previous prime is 18251999993. The next prime is 18252000023. The reversal of 18252000000 is 25281.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1403999994 + ... + 1404000006.

Almost surely, 218252000000 is an apocalyptic number.

18252000000 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 18252000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36528048060).

18252000000 is an abundant number, since it is smaller than the sum of its proper divisors (54804096120).

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

18252000000 is an frugal number, since it uses more digits than its factorization.

18252000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 18252000000 its reverse (25281), we get a palindrome (18252025281).

The spelling of 18252000000 in words is "eighteen billion, two hundred fifty-two million", and thus it is an aban number.