Search a number
-
+
18895680000 = 2931054
BaseRepresentation
bin10001100110010001…
…010011001000000000
31210202212120000000000
4101212101103020000
5302144243230000
612403000000000
71236152426031
oct214621231000
953685500000
1018895680000
11801713406a
1237b4160000
131a21973852
14cb3780a88
15758d30000
hex466453200

18895680000 has 550 divisors, whose sum is σ = 70766549799. Its totient is φ = 5038848000.

The previous prime is 18895679983. The next prime is 18895680007. The reversal of 18895680000 is 8659881.

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.

18895680000 is a `hidden beast` number, since 1 + 8 + 89 + 568 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4368681216 + 14526998784 = 66096^2 + 120528^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=97200.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18895680007) by changing a digit.

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 54 ways as a sum of consecutive naturals, for example, 3779135998 + ... + 3779136002.

Almost surely, 218895680000 is an apocalyptic number.

18895680000 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 18895680000

18895680000 is an abundant number, since it is smaller than the sum of its proper divisors (51870869799).

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

18895680000 is an frugal number, since it uses more digits than its factorization.

18895680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 18895680000 in words is "eighteen billion, eight hundred ninety-five million, six hundred eighty thousand".