Search a number
-
+
664513304364000 = 25325371331131199251
BaseRepresentation
bin1001011100010111110000111…
…1011101001000001111100000
310020010211211222201200211020100
42113011330033131020033200
51144044341221404122000
610313145110410542400
7256653334104432540
oct22705741735101740
93203754881624210
10664513304364000
1118280956753a763
1262643169137a00
13226a344976b530
14ba14889081320
1551c57b1882a00
hex25c5f0f7483e0

664513304364000 has 4608 divisors, whose sum is σ = 3046358207692800. Its totient is φ = 133436160000000.

The previous prime is 664513304363957. The next prime is 664513304364011. The reversal of 664513304364000 is 463403315466.

664513304364000 is a `hidden beast` number, since 6 + 6 + 4 + 513 + 30 + 43 + 64 + 0 + 0 + 0 = 666.

664513304364000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2647463363875 + ... + 2647463364125.

It is an arithmetic number, because the mean of its divisors is an integer number (661102041600).

Almost surely, 2664513304364000 is an apocalyptic number.

664513304364000 is a gapful number since it is divisible by the number (60) 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 664513304364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523179103846400).

664513304364000 is an abundant number, since it is smaller than the sum of its proper divisors (2381844903328800).

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

664513304364000 is a wasteful number, since it uses less digits than its factorization.

664513304364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

Adding to 664513304364000 its reverse (463403315466), we get a palindrome (664976707679466).

The spelling of 664513304364000 in words is "six hundred sixty-four trillion, five hundred thirteen billion, three hundred four million, three hundred sixty-four thousand".