Search a number
-
+
810000000018 = 232114339447827
BaseRepresentation
bin10111100100101111100…
…00110010010000010010
32212102202021220101010200
423302113300302100102
5101232340000000033
61420035303040030
7112343361254016
oct13622760622022
92772667811120
10810000000018
11292578979820
12110b97440016
135b4c8966b51
142b2c04c8546
151610b1a0013
hexbc97c32412

810000000018 has 48 divisors (see below), whose sum is σ = 1918967240736. Its totient is φ = 244887649920.

The previous prime is 809999999959. The next prime is 810000000023.

It is a happy number.

810000000018 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8100000000182 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

810000000018 is a strobogrammatic number because it is the same when read upside-down.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4638180 + ... + 4809647.

It is an arithmetic number, because the mean of its divisors is an integer number (39978484182).

Almost surely, 2810000000018 is an apocalyptic number.

810000000018 is an abundant number, since it is smaller than the sum of its proper divisors (1108967240718).

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

810000000018 is a wasteful number, since it uses less digits than its factorization.

810000000018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9448279 (or 9448276 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Subtracting from 810000000018 its sum of digits (18), we obtain a square (810000000000 = 9000002).

It can be divided in two parts, 8100000000 and 18, that added together give a palindrome (8100000018).

The spelling of 810000000018 in words is "eight hundred ten billion, eighteen", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 433 866 1299 2598 3897 4763 7794 9526 14289 28578 42867 85734 9447827 18895654 28343481 56686962 85030443 103926097 170060886 207852194 311778291 623556582 935334873 1870669746 4090909091 8181818182 12272727273 24545454546 36818181819 45000000001 73636363638 90000000002 135000000003 270000000006 405000000009 810000000018