Search a number
-
+
810804113280 = 27325724170067
BaseRepresentation
bin10111100110001111011…
…00001110111110000000
32212111211022222120011100
423303013230032332000
5101241011323111110
61420251150014400
7112402324151400
oct13630754167600
92774738876140
10810804113280
11292950869a37
121111807a7400
135b5c642a005
142b359204800
1516156a8abc0
hexbcc7b0ef80

810804113280 has 576 divisors, whose sum is σ = 3336404132880. Its totient is φ = 180803911680.

The previous prime is 810804113261. The next prime is 810804113297. The reversal of 810804113280 is 82311408018.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×8108041132802 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11536807 + ... + 11606873.

Almost surely, 2810804113280 is an apocalyptic number.

810804113280 is a gapful number since it is divisible by the number (80) 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 810804113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668202066440).

810804113280 is an abundant number, since it is smaller than the sum of its proper divisors (2525600019600).

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

810804113280 is a wasteful number, since it uses less digits than its factorization.

810804113280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70147 (or 70125 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 810804113280 in words is "eight hundred ten billion, eight hundred four million, one hundred thirteen thousand, two hundred eighty".