Search a number
-
+
482561544192 = 21237132329647
BaseRepresentation
bin1110000010110101110…
…10001101000000000000
31201010120112200101000220
413001122322031000000
530401241223403232
61005404040343040
746602216306330
oct7013272150000
91633515611026
10482561544192
11176720458552
1279634a74a80
1336675370380
14194db20d0c0
15c844bed42c
hex705ae8d000

482561544192 has 832 divisors, whose sum is σ = 1712073646080. Its totient is φ = 117356101632.

The previous prime is 482561544151. The next prime is 482561544193. The reversal of 482561544192 is 291445165284.

It is a tau number, because it is divible by the number of its divisors (832).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482561544193) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 745844413 + ... + 745845059.

Almost surely, 2482561544192 is an apocalyptic number.

482561544192 is a gapful number since it is divisible by the number (42) 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 482561544192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856036823040).

482561544192 is an abundant number, since it is smaller than the sum of its proper divisors (1229512101888).

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

482561544192 is a wasteful number, since it uses less digits than its factorization.

482561544192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 724 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 51.

The spelling of 482561544192 in words is "four hundred eighty-two billion, five hundred sixty-one million, five hundred forty-four thousand, one hundred ninety-two".