Search a number
-
+
6464633112 = 23337217193161
BaseRepresentation
bin1100000010101001…
…00111100100011000
3121200112100101111000
412001110213210120
5101214421224422
62545251305000
7316125321600
oct60124474430
917615311430
106464633112
1128181315a3
121304bab160
137c041a0c2
144547d9c00
1527c816cac
hex181527918

6464633112 has 768 divisors, whose sum is σ = 24427008000. Its totient is φ = 1567641600.

The previous prime is 6464633101. The next prime is 6464633113. The reversal of 6464633112 is 2113364646.

6464633112 is a `hidden beast` number, since 6 + 4 + 6 + 4 + 633 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6464633113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105977562 + ... + 105977622.

It is an arithmetic number, because the mean of its divisors is an integer number (31806000).

Almost surely, 26464633112 is an apocalyptic number.

6464633112 is a gapful number since it is divisible by the number (62) 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 6464633112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12213504000).

6464633112 is an abundant number, since it is smaller than the sum of its proper divisors (17962374888).

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

6464633112 is a wasteful number, since it uses less digits than its factorization.

6464633112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 6464633112 is about 80402.9421849723. The cubic root of 6464633112 is about 1862.8646181452.

Adding to 6464633112 its reverse (2113364646), we get a palindrome (8577997758).

The spelling of 6464633112 in words is "six billion, four hundred sixty-four million, six hundred thirty-three thousand, one hundred twelve".