Search a number
-
+
869000344282980 = 22325713198333641423
BaseRepresentation
bin1100010110010110011110100…
…0110101001010011101100100
311012221212121210010112222001200
43011211213220311022131210
51402400200201114023410
612320113125202122500
7351020126430055320
oct30545475065123544
94187777703488050
10869000344282980
11231987a81612408
128156a109050430
132b3b74c493a8c0
1411483babcd0980
156a6ea5e8463c0
hex31659e8d4a764

869000344282980 has 576 divisors, whose sum is σ = 3456163805552640. Its totient is φ = 171606777541632.

The previous prime is 869000344282951. The next prime is 869000344283087. The reversal of 869000344282980 is 89282443000968.

869000344282980 is a `hidden beast` number, since 8 + 6 + 9 + 0 + 0 + 0 + 344 + 282 + 9 + 8 + 0 = 666.

869000344282980 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9010549 + ... + 42651971.

It is an arithmetic number, because the mean of its divisors is an integer number (6000284384640).

Almost surely, 2869000344282980 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 869000344282980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728081902776320).

869000344282980 is an abundant number, since it is smaller than the sum of its proper divisors (2587163461269660).

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

869000344282980 is a wasteful number, since it uses less digits than its factorization.

869000344282980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33641560 (or 33641555 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 869000344282980 in words is "eight hundred sixty-nine trillion, three hundred forty-four million, two hundred eighty-two thousand, nine hundred eighty".