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18728928240 = 24351113735167
BaseRepresentation
bin10001011100010101…
…001100001111110000
31210100020210010120220
4101130111030033300
5301324101200430
612334241533040
71232056156221
oct213425141760
953306703526
1018728928240
117a40a9aaa0
123768344180
1319c625ab79
14c99575248
15749392110
hex45c54c3f0

18728928240 has 160 divisors (see below), whose sum is σ = 63396228096. Its totient is φ = 4536161280.

The previous prime is 18728928209. The next prime is 18728928241. The reversal of 18728928240 is 4282982781.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18728928241) 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, 3622137 + ... + 3627303.

Almost surely, 218728928240 is an apocalyptic number.

18728928240 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 18728928240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31698114048).

18728928240 is an abundant number, since it is smaller than the sum of its proper divisors (44667299856).

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

18728928240 is a wasteful number, since it uses less digits than its factorization.

18728928240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6567 (or 6561 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 18728928240 in words is "eighteen billion, seven hundred twenty-eight million, nine hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 1373 2640 2746 4119 5167 5492 6865 8238 10334 10984 13730 15103 15501 16476 20595 20668 21968 25835 27460 30206 31002 32952 41190 41336 45309 51670 54920 56837 60412 62004 65904 75515 77505 82380 82672 90618 103340 109840 113674 120824 124008 151030 155010 164760 170511 181236 206680 226545 227348 241648 248016 284185 302060 310020 329520 341022 362472 413360 453090 454696 568370 604120 620040 682044 724944 852555 906180 909392 1136740 1208240 1240080 1364088 1705110 1812360 2273480 2728176 3410220 3624720 4546960 6820440 7094291 13640880 14188582 21282873 28377164 35471455 42565746 56754328 70942910 78037201 85131492 106414365 113508656 141885820 156074402 170262984 212828730 234111603 283771640 312148804 340525968 390186005 425657460 468223206 567543280 624297608 780372010 851314920 936446412 1170558015 1248595216 1560744020 1702629840 1872892824 2341116030 3121488040 3745785648 4682232060 6242976080 9364464120 18728928240