Search a number
-
+
482855769792 = 2632112171989241
BaseRepresentation
bin1110000011011000111…
…00100101011011000000
31201011100001022120200100
413001230130211123000
530402342034113132
61005453150522400
746612421216034
oct7015434453300
91634301276610
10482855769792
11176861548600
12796b7506400
13366c12c8a66
141952831c1c4
15c86096b37c
hex706c7256c0

482855769792 has 1008 divisors, whose sum is σ = 1721706386400. Its totient is φ = 128463667200.

The previous prime is 482855769751. The next prime is 482855769797. The reversal of 482855769792 is 297967558284.

482855769792 is a `hidden beast` number, since 4 + 8 + 2 + 8 + 557 + 69 + 7 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 482855769792.

It is not an unprimeable number, because it can be changed into a prime (482855769797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2003550792 + ... + 2003551032.

It is an arithmetic number, because the mean of its divisors is an integer number (1708042050).

Almost surely, 2482855769792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482855769792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860853193200).

482855769792 is an abundant number, since it is smaller than the sum of its proper divisors (1238850616608).

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

482855769792 is a wasteful number, since it uses less digits than its factorization.

482855769792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 382 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 72.

The spelling of 482855769792 in words is "four hundred eighty-two billion, eight hundred fifty-five million, seven hundred sixty-nine thousand, seven hundred ninety-two".