Search a number
-
+
16845198149250 = 234531224167957
BaseRepresentation
bin1111010100100001010000…
…0011010100011010000010
32012122101101211012102110000
43311020110003110122002
54201442431211234000
655454324401420430
73356011466524422
oct365102403243202
965571354172400
1016845198149250
115405010224719
121a8086693a716
139526594328a3
14423451d72482
151e32b01ec000
hexf52140d4682

16845198149250 has 160 divisors (see below), whose sum is σ = 47111202289008. Its totient is φ = 4491619776000.

The previous prime is 16845198149237. The next prime is 16845198149261. The reversal of 16845198149250 is 5294189154861.

16845198149250 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 5 + 1 + 98 + 1 + 492 + 50 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 993707928801 + 15851490220449 = 996849^2 + 3981393^2 .

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 247846272 + ... + 247914228.

Almost surely, 216845198149250 is an apocalyptic number.

16845198149250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16845198149250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23555601144504).

16845198149250 is an abundant number, since it is smaller than the sum of its proper divisors (30266004139758).

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

16845198149250 is a wasteful number, since it uses less digits than its factorization.

16845198149250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80227 (or 80208 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 16845198149250 in words is "sixteen trillion, eight hundred forty-five billion, one hundred ninety-eight million, one hundred forty-nine thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 125 135 150 162 225 250 270 375 405 450 675 750 810 1125 1350 2025 2250 3375 4050 6750 10125 12241 20250 24482 36723 61205 67957 73446 110169 122410 135914 183615 203871 220338 306025 330507 339785 367230 407742 550845 611613 612050 661014 679570 918075 991521 1019355 1101690 1223226 1530125 1652535 1698925 1834839 1836150 1983042 2038710 2754225 3058065 3060250 3305070 3397850 3669678 4590375 4957605 5096775 5504517 5508450 6116130 8262675 8494625 9174195 9180750 9915210 10193550 11009034 13771125 15290325 16525350 16989250 18348390 24788025 25483875 27522585 27542250 30580650 41313375 45870975 49576050 50967750 55045170 76451625 82626750 91741950 123940125 137612925 152903250 229354875 247880250 275225850 458709750 688064625 831861637 1376129250 1663723274 2495584911 4159308185 4991169822 7486754733 8318616370 12477924555 14973509466 20796540925 22460264199 24955849110 37433773665 41593081850 44920528398 62389622775 67380792597 74867547330 103982704625 112301320995 124779245550 134761585194 187168868325 207965409250 224602641990 311948113875 336903962985 374337736650 561506604975 623896227750 673807925970 935844341625 1123013209950 1684519814925 1871688683250 2807533024875 3369039629850 5615066049750 8422599074625 16845198149250