Search a number
-
+
189664296823044 = 2232173179277745569
BaseRepresentation
bin101011000111111110101001…
…000010011110100100000100
3220212112201200221122110121200
4223013332221002132210010
5144324424434441314134
61511214324120142500
754643536041005611
oct5307765102364404
9825481627573550
10189664296823044
11554841a402281a
1219332265307a30
1381aa3604cb964
1434b9b2db23508
1516dd90c30d499
hexac7fa909e904

189664296823044 has 288 divisors, whose sum is σ = 530841823948800. Its totient is φ = 56832467927040.

The previous prime is 189664296823037. The next prime is 189664296823049. The reversal of 189664296823044 is 440328692466981.

It is a happy number.

189664296823044 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 64 + 296 + 8 + 230 + 44 = 666.

It is not an unprimeable number, because it can be changed into a prime (189664296823049) 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 95 ways as a sum of consecutive naturals, for example, 4162111492 + ... + 4162157060.

It is an arithmetic number, because the mean of its divisors is an integer number (1843200777600).

Almost surely, 2189664296823044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189664296823044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265420911974400).

189664296823044 is an abundant number, since it is smaller than the sum of its proper divisors (341177527125756).

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

189664296823044 is a wasteful number, since it uses less digits than its factorization.

189664296823044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48483 (or 48478 counting only the distinct ones).

The product of its (nonzero) digits is 859963392, while the sum is 72.

The spelling of 189664296823044 in words is "one hundred eighty-nine trillion, six hundred sixty-four billion, two hundred ninety-six million, eight hundred twenty-three thousand, forty-four".