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204434161206 = 231110153875693
BaseRepresentation
bin1011111001100100111…
…0011011111000110110
3201112200100221102011020
42332121032123320312
511322140121124311
6233525445322010
720525032461462
oct2763116337066
9645610842136
10204434161206
1179777833140
1233754706306
131637cb831c2
149c74d6d4a2
1554b78a9c06
hex2f9939be36

204434161206 has 64 divisors (see below), whose sum is σ = 450617147136. Its totient is φ = 61314224000.

The previous prime is 204434161199. The next prime is 204434161207. The reversal of 204434161206 is 602161434402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204434161207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35906896 + ... + 35912588.

It is an arithmetic number, because the mean of its divisors is an integer number (7040892924).

Almost surely, 2204434161206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204434161206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225308573568).

204434161206 is an abundant number, since it is smaller than the sum of its proper divisors (246182985930).

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

204434161206 is a wasteful number, since it uses less digits than its factorization.

204434161206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11197.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 204434161206 its reverse (602161434402), we get a palindrome (806595595608).

The spelling of 204434161206 in words is "two hundred four billion, four hundred thirty-four million, one hundred sixty-one thousand, two hundred six".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 3333 5387 5693 6666 10774 11386 16161 17079 32322 34158 59257 62623 118514 125246 177771 187869 355542 375738 544087 574993 1088174 1149986 1632261 1724979 3264522 3449958 5984957 6324923 11969914 12649846 17954871 18974769 30668191 35909742 37949538 61336382 92004573 184009146 337350101 674700202 1012050303 2024100606 3097487291 6194974582 9292461873 18584923746 34072360201 68144720402 102217080603 204434161206