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18305168640 = 283511433361
BaseRepresentation
bin10001000011000100…
…101011010100000000
31202020201101220200220
4101003010223110000
5244442110344030
612224223143040
71215422236413
oct210304532400
952221356626
1018305168640
117843877150
12366a444a80
13195951ab45
14c59187b7a
15722088a10
hex44312b500

18305168640 has 144 divisors (see below), whose sum is σ = 63777018816. Its totient is φ = 4437606400.

The previous prime is 18305168603. The next prime is 18305168647. The reversal of 18305168640 is 4686150381.

It is a junction number, because it is equal to n+sod(n) for n = 18305168592 and 18305168601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18305168647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174441 + ... + 258920.

It is an arithmetic number, because the mean of its divisors is an integer number (442895964).

Almost surely, 218305168640 is an apocalyptic number.

18305168640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18305168640 is an abundant number, since it is smaller than the sum of its proper divisors (45471850176).

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

18305168640 is a wasteful number, since it uses less digits than its factorization.

18305168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433396 (or 433382 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 18305168640 in words is "eighteen billion, three hundred five million, one hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 433361 866722 1300083 1733444 2166805 2600166 3466888 4333610 4766971 5200332 6500415 6933776 8667220 9533942 10400664 13000830 13867552 14300913 17334440 19067884 20801328 23834855 26001660 27735104 28601826 34668880 38135768 41602656 47669710 52003320 55470208 57203652 69337760 71504565 76271536 83205312 95339420 104006640 110940416 114407304 138675520 143009130 152543072 166410624 190678840 208013280 228814608 277351040 286018260 305086144 332821248 381357680 416026560 457629216 554702080 572036520 610172288 762715360 832053120 915258432 1144073040 1220344576 1525430720 1664106240 1830516864 2288146080 3050861440 3661033728 4576292160 6101722880 9152584320 18305168640