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18226973721636 = 2232232309372
BaseRepresentation
bin1000010010011110011000…
…10010110100010000100100
32101112111000010201101002100
410021033030102310100210
54342112320233043021
6102433204531412100
73560566254225441
oct411171422642044
971474003641070
1018226973721636
11589801a542789
122064614754030
13a22a4747b384
144702940109c8
152191d3421626
hex1093cc4b4424

18226973721636 has 81 divisors (see below), whose sum is σ = 48165597986961. Its totient is φ = 5811311018304.

The previous prime is 18226973721631. The next prime is 18226973721643. The reversal of 18226973721636 is 63612737962281.

It is a happy number.

The square root of 18226973721636 is 4269306.

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

18226973721636 is a `hidden beast` number, since 1 + 8 + 226 + 9 + 7 + 372 + 1 + 6 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2113621668900 + 16113352052736 = 1453830^2 + 4014144^2 .

It is not an unprimeable number, because it can be changed into a prime (18226973721631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 589148760 + ... + 589179696.

Almost surely, 218226973721636 is an apocalyptic number.

18226973721636 is the 4269306-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18226973721636

18226973721636 is an abundant number, since it is smaller than the sum of its proper divisors (29938624265325).

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

18226973721636 is an frugal number, since it uses more digits than its factorization.

18226973721636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61930 (or 30965 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

It can be divided in two parts, 18226973 and 721636, that added together give a square (18948609 = 43532).

The spelling of 18226973721636 in words is "eighteen trillion, two hundred twenty-six billion, nine hundred seventy-three million, seven hundred twenty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 6348 9522 19044 30937 61874 92811 123748 185622 278433 371244 556866 711551 1113732 1423102 2134653 2846204 4269306 6403959 8538612 12807918 16365673 25615836 32731346 49097019 65462692 98194038 147291057 196388076 294582114 589164228 957097969 1914195938 2871293907 3828391876 5742587814 8613881721 11485175628 17227763442 22013253287 34455526884 44026506574 66039759861 88053013148 132079519722 198119279583 264159039444 396238559166 506304825601 792477118332 1012609651202 1518914476803 2025219302404 3037828953606 4556743430409 6075657907212 9113486860818 18226973721636