Search a number
-
+
482549760000 = 216325471117
BaseRepresentation
bin1110000010110100011…
…01010000000000000000
31201010112201111200011100
413001122031100000000
530401230214310000
61005402540014400
746602014166150
oct7013215200000
91633481450140
10482549760000
11176714839950
1279630b31400
1336672aa5689
14194d9822760
15c843b71a00
hex705a350000

482549760000 has 2040 divisors, whose sum is σ = 2299559955264. Its totient is φ = 94371840000.

The previous prime is 482549759971. The next prime is 482549760001. The reversal of 482549760000 is 67945284.

It is a happy number.

482549760000 is a `hidden beast` number, since 48 + 2 + 549 + 7 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2040).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482549760001) 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 119 ways as a sum of consecutive naturals, for example, 28385279992 + ... + 28385280008.

Almost surely, 2482549760000 is an apocalyptic number.

482549760000 is a gapful number since it is divisible by the number (40) 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 482549760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149779977632).

482549760000 is an abundant number, since it is smaller than the sum of its proper divisors (1817010195264).

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

482549760000 is an equidigital number, since it uses as much as digits as its factorization.

482549760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 482549760000 in words is "four hundred eighty-two billion, five hundred forty-nine million, seven hundred sixty thousand".