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18228241746 = 23211213976637
BaseRepresentation
bin10000111110011111…
…001110010101010010
31202001100122121211200
4100332133032111102
5244312412213441
612212434252030
71213466332641
oct207637162522
952040577750
1018228241746
117804404900
123648727016
1319465c5480
14c4cc81358
1571a4407b6
hex43e7ce552

18228241746 has 144 divisors (see below), whose sum is σ = 47239751832. Its totient is φ = 5045483520.

The previous prime is 18228241709. The next prime is 18228241751. The reversal of 18228241746 is 64714282281.

18228241746 is a `hidden beast` number, since 1 + 8 + 228 + 2 + 417 + 4 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6246531225 + 11981710521 = 79035^2 + 109461^2 .

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 71 ways as a sum of consecutive naturals, for example, 2743140 + ... + 2749776.

Almost surely, 218228241746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18228241746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23619875916).

18228241746 is an abundant number, since it is smaller than the sum of its proper divisors (29011510086).

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

18228241746 is a wasteful number, since it uses less digits than its factorization.

18228241746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6777 (or 6763 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The spelling of 18228241746 in words is "eighteen billion, two hundred twenty-eight million, two hundred forty-one thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 97 99 117 121 143 194 198 234 242 286 291 363 429 582 726 858 873 1067 1089 1261 1287 1573 1746 2134 2178 2522 2574 3146 3201 3783 4719 6402 6637 7566 9438 9603 11349 11737 13274 13871 14157 19206 19911 22698 23474 27742 28314 35211 39822 41613 59733 70422 73007 83226 86281 105633 119466 124839 146014 152581 172562 211266 219021 249678 258843 305162 438042 457743 517686 643789 657063 776529 803077 915486 949091 1287578 1314126 1373229 1553058 1606154 1898182 1931367 2409231 2746458 2847273 3862734 4818462 5694546 5794101 7081679 7227693 8369257 8541819 10440001 11588202 14163358 14455386 16738514 17083638 20880002 21245037 25107771 31320003 42490074 50215542 62640006 63735111 75323313 77898469 92061827 93960009 127470222 150646626 155796938 184123654 187920018 233695407 276185481 467390814 552370962 701086221 828556443 1012680097 1402172442 1657112886 2025360194 3038040291 6076080582 9114120873 18228241746