Search a number
-
+
482219765664 = 253713232938191
BaseRepresentation
bin1110000010001101000…
…10011010111110100000
31201002200201120020000220
413001012202122332200
530400041230000124
61005310111043040
746560566243430
oct7010642327640
91632621506026
10482219765664
1117656553925a
127955a510480
133661c605360
14194a7a822c0
15c824bda879
hex704689afa0

482219765664 has 384 divisors, whose sum is σ = 1631424872448. Its totient is φ = 121219338240.

The previous prime is 482219765563. The next prime is 482219765689. The reversal of 482219765664 is 466567912284.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 482219765598 and 482219765607.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 58867809 + ... + 58875999.

It is an arithmetic number, because the mean of its divisors is an integer number (4248502272).

Almost surely, 2482219765664 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 482219765664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815712436224).

482219765664 is an abundant number, since it is smaller than the sum of its proper divisors (1149205106784).

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

482219765664 is a wasteful number, since it uses less digits than its factorization.

482219765664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8540 (or 8532 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 60.

The spelling of 482219765664 in words is "four hundred eighty-two billion, two hundred nineteen million, seven hundred sixty-five thousand, six hundred sixty-four".