Search a number
-
+
36864000000 = 2183256
BaseRepresentation
bin100010010101010001…
…000000000000000000
310112011010010020020100
4202111101000000000
51100444141000000
624533551242400
72443344554442
oct422521000000
9115133106210
1036864000000
11146a7848903
127189819400
133626461569
141ad9cc2492
15e5b52ba00
hex895440000

36864000000 has 399 divisors, whose sum is σ = 133118042161. Its totient is φ = 9830400000.

The previous prime is 36863999971. The next prime is 36864000001. The reversal of 36864000000 is 46863.

The square root of 36864000000 is 192000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 32296402944 + 4567597056 = 179712^2 + 67584^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36864000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7372799998 + ... + 7372800002.

Almost surely, 236864000000 is an apocalyptic number.

36864000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36864000000 is a droll number since its even prime factors and its odd prime factors have the same sum.

36864000000 is the 192000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36864000000

36864000000 is an abundant number, since it is smaller than the sum of its proper divisors (96254042161).

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

36864000000 is an frugal number, since it uses more digits than its factorization.

36864000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 36864000000 its reverse (46863), we get a palindrome (36864046863).

The spelling of 36864000000 in words is "thirty-six billion, eight hundred sixty-four million", and thus it is an aban number.