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18229860324 = 22341325772
BaseRepresentation
bin10000111110100101…
…011001011111100100
31202001110200212010000
4100332211121133210
5244313321012244
612212533101300
71213516153554
oct207645313744
952043625100
1018229860324
11780530a975
123649187830
131946a41100
14c4d183164
1571a660169
hex43e9597e4

18229860324 has 135 divisors (see below), whose sum is σ = 51693918507. Its totient is φ = 5599466496.

The previous prime is 18229860307. The next prime is 18229860347. The reversal of 18229860324 is 42306892281.

The square root of 18229860324 is 135018.

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

18229860324 is a `hidden beast` number, since 18 + 2 + 2 + 9 + 8 + 603 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1712469924 + 16517390400 = 41382^2 + 128520^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18229860324.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 31593924 + ... + 31594500.

Almost surely, 218229860324 is an apocalyptic number.

18229860324 is the 135018-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18229860324

18229860324 is an abundant number, since it is smaller than the sum of its proper divisors (33464058183).

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

18229860324 is an equidigital number, since it uses as much as digits as its factorization.

18229860324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 18229860324 in words is "eighteen billion, two hundred twenty-nine million, eight hundred sixty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 577 676 702 1014 1053 1154 1404 1521 1731 2028 2106 2308 3042 3462 4212 4563 5193 6084 6924 7501 9126 10386 13689 15002 15579 18252 20772 22503 27378 30004 31158 45006 46737 54756 62316 67509 90012 93474 97513 135018 186948 195026 202527 270036 292539 332929 390052 405054 585078 607581 665858 810108 877617 998787 1170156 1215162 1331716 1755234 1997574 2430324 2632851 2996361 3510468 3995148 4328077 5265702 5992722 7898553 8656154 8989083 10531404 11985444 12984231 15797106 17312308 17978166 25968462 26967249 31594212 35956332 38952693 51936924 53934498 56265001 77905386 107868996 112530002 116858079 155810772 168795003 225060004 233716158 337590006 350574237 467432316 506385009 675180012 701148474 1012770018 1402296948 1519155027 2025540036 3038310054 4557465081 6076620108 9114930162 18229860324