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18930316080 = 24351329209221
BaseRepresentation
bin10001101000010101…
…011011001100110000
31210212021201200202210
4101220111123030300
5302232130103310
612410234212120
71240053013614
oct215025331460
953767650683
1018930316080
118034740725
123803884040
131a28baca80
14cb81d9344
1575bdc2820
hex46855b330

18930316080 has 160 divisors (see below), whose sum is σ = 65377690560. Its totient is φ = 4499066880.

The previous prime is 18930316079. The next prime is 18930316081. The reversal of 18930316080 is 8061303981.

It is an interprime number because it is at equal distance from previous prime (18930316079) and next prime (18930316081).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (18930316081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14131 + ... + 195090.

It is an arithmetic number, because the mean of its divisors is an integer number (408610566).

Almost surely, 218930316080 is an apocalyptic number.

18930316080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18930316080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32688845280).

18930316080 is an abundant number, since it is smaller than the sum of its proper divisors (46447374480).

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

18930316080 is a wasteful number, since it uses less digits than its factorization.

18930316080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209279 (or 209273 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 18930316080 in words is "eighteen billion, nine hundred thirty million, three hundred sixteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 39 40 48 52 58 60 65 78 80 87 104 116 120 130 145 156 174 195 208 232 240 260 290 312 348 377 390 435 464 520 580 624 696 754 780 870 1040 1131 1160 1392 1508 1560 1740 1885 2262 2320 3016 3120 3480 3770 4524 5655 6032 6960 7540 9048 11310 15080 18096 22620 30160 45240 90480 209221 418442 627663 836884 1046105 1255326 1673768 2092210 2510652 2719873 3138315 3347536 4184420 5021304 5439746 6067409 6276630 8159619 8368840 10042608 10879492 12134818 12553260 13599365 16319238 16737680 18202227 21758984 24269636 25106520 27198730 30337045 32638476 36404454 40798095 43517968 48539272 50213040 54397460 60674090 65276952 72808908 78876317 81596190 91011135 97078544 108794920 121348180 130553904 145617816 157752634 163192380 182022270 217589840 236628951 242696360 291235632 315505268 326384760 364044540 394381585 473257902 485392720 631010536 652769520 728089080 788763170 946515804 1183144755 1262021072 1456178160 1577526340 1893031608 2366289510 3155052680 3786063216 4732579020 6310105360 9465158040 18930316080