Search a number
-
+
18007753140 = 2235513285023
BaseRepresentation
bin10000110001010110…
…001000000110110100
31201110222202122100000
4100301112020012310
5243334441100030
612134520351300
71205151243006
oct206126100664
951428678300
1018007753140
1177009a8513
1235a6915530
13190ca16540
14c2b888376
15705dda860
hex4315881b4

18007753140 has 144 divisors (see below), whose sum is σ = 61004256768. Its totient is φ = 4432662144.

The previous prime is 18007753133. The next prime is 18007753163. The reversal of 18007753140 is 4135770081.

18007753140 is a `hidden beast` number, since 1 + 80 + 0 + 7 + 7 + 531 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18007753095 and 18007753104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79332 + ... + 205691.

It is an arithmetic number, because the mean of its divisors is an integer number (423640672).

Almost surely, 218007753140 is an apocalyptic number.

18007753140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18007753140 is an abundant number, since it is smaller than the sum of its proper divisors (42996503628).

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

18007753140 is a wasteful number, since it uses less digits than its factorization.

18007753140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285060 (or 285046 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 18007753140 in words is "eighteen billion, seven million, seven hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 780 810 972 1053 1170 1215 1404 1620 1755 2106 2340 2430 3159 3510 4212 4860 5265 6318 7020 10530 12636 15795 21060 31590 63180 285023 570046 855069 1140092 1425115 1710138 2565207 2850230 3420276 3705299 4275345 5130414 5700460 7410598 7695621 8550690 10260828 11115897 12826035 14821196 15391242 17101380 18526495 22231794 23086863 25652070 30782484 33347691 37052990 38478105 44463588 46173726 51304140 55579485 66695382 69260589 74105980 76956210 92347452 100043073 111158970 115434315 133390764 138521178 153912420 166738455 200086146 222317940 230868630 277042356 300129219 333476910 346302945 400172292 461737260 500215365 600258438 666953820 692605890 900387657 1000430730 1200516876 1385211780 1500646095 1800775314 2000861460 3001292190 3601550628 4501938285 6002584380 9003876570 18007753140