Search a number
-
+
1815281828208 = 243410113868123
BaseRepresentation
bin11010011010100111001…
…110101000000101110000
320102112120010000110210000
4122122213032220011300
5214220144122000313
63505532353310000
7245102242644042
oct32324716500560
96375503013700
101815281828208
1163a9472a4382
12253992265300
13102246298ac4
1463c081d5a92
153234648c673
hex1a6a73a8170

1815281828208 has 100 divisors (see below), whose sum is σ = 5305971978648. Its totient is φ = 599102870400.

The previous prime is 1815281828201. The next prime is 1815281828209. The reversal of 1815281828208 is 8028281825181.

1815281828208 is a `hidden beast` number, since 1 + 81 + 5 + 281 + 8 + 282 + 0 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1815281828201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6803166 + ... + 7064957.

Almost surely, 21815281828208 is an apocalyptic number.

1815281828208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1815281828208 is an abundant number, since it is smaller than the sum of its proper divisors (3490690150440).

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

1815281828208 is a wasteful number, since it uses less digits than its factorization.

1815281828208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13868244 (or 13868229 counting only the distinct ones).

The product of its (nonzero) digits is 1310720, while the sum is 54.

The spelling of 1815281828208 in words is "one trillion, eight hundred fifteen billion, two hundred eighty-one million, eight hundred twenty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 101 108 144 162 202 216 303 324 404 432 606 648 808 909 1212 1296 1616 1818 2424 2727 3636 4848 5454 7272 8181 10908 14544 16362 21816 32724 43632 65448 130896 13868123 27736246 41604369 55472492 83208738 110944984 124813107 166417476 221889968 249626214 332834952 374439321 499252428 665669904 748878642 998504856 1123317963 1400680423 1497757284 1997009712 2246635926 2801360846 2995514568 4202041269 4493271852 5602721692 5991029136 8404082538 8986543704 11205443384 12606123807 16808165076 17973087408 22410886768 25212247614 33616330152 37818371421 50424495228 67232660304 75636742842 100848990456 113455114263 151273485684 201697980912 226910228526 302546971368 453820457052 605093942736 907640914104 1815281828208