Search a number
-
+
206352326304 = 253659313479
BaseRepresentation
bin1100000000101110001…
…1101001111010100000
3201201122001022022000000
43000023203221322200
511340102143420204
6234444050300000
720623413555525
oct3001343517240
9651561268000
10206352326304
117a571565a53
1233baab87600
13165c73a6c37
149db7a0514c
15557aea5039
hex300b8e9ea0

206352326304 has 336 divisors, whose sum is σ = 622705708800. Its totient is φ = 67261529088.

The previous prime is 206352326293. The next prime is 206352326321. The reversal of 206352326304 is 403623253602.

206352326304 is a `hidden beast` number, since 20 + 6 + 3 + 5 + 2 + 326 + 304 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 430797937 + ... + 430798415.

It is an arithmetic number, because the mean of its divisors is an integer number (1853290800).

Almost surely, 2206352326304 is an apocalyptic number.

206352326304 is a gapful number since it is divisible by the number (24) 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 206352326304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311352854400).

206352326304 is an abundant number, since it is smaller than the sum of its proper divisors (416353382496).

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

206352326304 is an equidigital number, since it uses as much as digits as its factorization.

206352326304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 206352326304 its reverse (403623253602), we get a palindrome (609975579906).

The spelling of 206352326304 in words is "two hundred six billion, three hundred fifty-two million, three hundred twenty-six thousand, three hundred four".