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18282284944 = 24721124392
BaseRepresentation
bin10001000001101101…
…011000011110010000
31202012010100022011121
4101001231120132100
5244420231104234
612222044452024
71215023600200
oct210155303620
952163308147
1018282284944
117831967300
12366284a014
131954867cb1
14c5610c400
157200684b4
hex441b58790

18282284944 has 135 divisors (see below), whose sum is σ = 45394959771. Its totient is φ = 7106742720.

The previous prime is 18282284927. The next prime is 18282284963. The reversal of 18282284944 is 44948228281.

The square root of 18282284944 is 135212.

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

It is a junction number, because it is equal to n+sod(n) for n = 18282284891 and 18282284900.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41645077 + ... + 41645515.

Almost surely, 218282284944 is an apocalyptic number.

18282284944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

18282284944 is the 135212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18282284944

18282284944 is an abundant number, since it is smaller than the sum of its proper divisors (27112674827).

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

18282284944 is an equidigital number, since it uses as much as digits as its factorization.

18282284944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 459 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 52.

The spelling of 18282284944 in words is "eighteen billion, two hundred eighty-two million, two hundred eighty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 392 439 484 539 616 784 847 878 968 1078 1232 1694 1756 1936 2156 3073 3388 3512 4312 4829 5929 6146 6776 7024 8624 9658 11858 12292 13552 19316 21511 23716 24584 33803 38632 43022 47432 49168 53119 67606 77264 86044 94864 106238 135212 172088 192721 212476 236621 270424 344176 371833 385442 424952 473242 540848 743666 770884 849904 946484 1349047 1487332 1541768 1892968 2119931 2602831 2698094 2974664 3083536 3785936 4239862 5205662 5396188 5949328 8479724 9443329 10411324 10792376 14839517 16959448 18886658 20822648 21584752 23319241 29679034 33918896 37773316 41645296 46638482 59358068 75546632 93276964 103876619 118716136 151093264 163234687 186553928 207753238 237432272 326469374 373107856 415506476 652938748 831012952 1142642809 1305877496 1662025904 2285285618 2611754992 4570571236 9141142472 18282284944