Search a number
-
+
810000000000 = 21034510
BaseRepresentation
bin10111100100101111100…
…00110010010000000000
32212102202021220101010000
423302113300302100000
5101232340000000000
61420035303040000
7112343361253662
oct13622760622000
92772667811100
10810000000000
11292578979804
12110b97440000
135b4c8966b39
142b2c04c8532
151610b1a0000
hexbc97c32400

810000000000 has 605 divisors, whose sum is σ = 3023522887297. Its totient is φ = 216000000000.

The previous prime is 809999999959. The next prime is 810000000023. The reversal of 810000000000 is 18.

The square root of 810000000000 is 900000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 5 ways, for example, as 4658881536 + 805341118464 = 68256^2 + 897408^2 .

It is a super-2 number, since 2×8100000000002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 810000000000.

It is an unprimeable number.

It is a polite number, since it can be written in 54 ways as a sum of consecutive naturals, for example, 161999999998 + ... + 162000000002.

Almost surely, 2810000000000 is an apocalyptic number.

810000000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

810000000000 is the 900000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810000000000

810000000000 is an abundant number, since it is smaller than the sum of its proper divisors (2213522887297).

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

810000000000 is an frugal number, since it uses more digits than its factorization.

810000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 810000000000 its reverse (18), we get a palindrome (810000000018).

The spelling of 810000000000 in words is "eight hundred ten billion", and thus it is an aban number.