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18308833004240 = 24517523144717789
BaseRepresentation
bin1000010100110110110110…
…11111001100101011010000
32101211022022001101210022222
410022123123133030223100
54344432442222113430
6102534543424120212
73566524643523152
oct412333337145320
971738261353288
1018308833004240
115919806a14359
12207845b166068
13a2a69185b7bc
1447421ba94ad2
1521b3c4c589e5
hex10a6db7ccad0

18308833004240 has 160 divisors (see below), whose sum is σ = 45191967171840. Its totient is φ = 6874417078272.

The previous prime is 18308833004233. The next prime is 18308833004251. The reversal of 18308833004240 is 4240033880381.

It is a junction number, because it is equal to n+sod(n) for n = 18308833004191 and 18308833004200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1029213266 + ... + 1029231054.

It is an arithmetic number, because the mean of its divisors is an integer number (282449794824).

Almost surely, 218308833004240 is an apocalyptic number.

18308833004240 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 18308833004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22595983585920).

18308833004240 is an abundant number, since it is smaller than the sum of its proper divisors (26883134167600).

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

18308833004240 is a wasteful number, since it uses less digits than its factorization.

18308833004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19789 (or 19783 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 18308833004240 in words is "eighteen trillion, three hundred eight billion, eight hundred thirty-three million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 523 680 1046 1360 1447 2092 2615 2894 4184 5230 5788 7235 8368 8891 10460 11576 14470 17782 17789 20920 23152 24599 28940 35564 35578 41840 44455 49198 57880 71128 71156 88910 88945 98396 115760 122995 142256 142312 177820 177890 196792 245990 284624 302413 355640 355780 393584 491980 604826 711280 711560 756781 983960 1209652 1423120 1512065 1513562 1967920 2419304 3024130 3027124 3783905 4838608 6048260 6054248 7567810 9303647 12096520 12108496 12865277 15135620 18607294 24193040 25730554 25740683 30271240 37214588 46518235 51461108 51481366 60542480 64326385 74429176 93036470 102922216 102962732 128652770 128703415 148858352 158161999 186072940 205844432 205925464 257305540 257406830 316323998 372145880 411850928 437591611 514611080 514813660 632647996 744291760 790809995 875183222 1029222160 1029627320 1265295992 1581619990 1750366444 2059254640 2187958055 2530591984 3163239980 3500732888 4375916110 6326479960 7001465776 8751832220 12652959920 13462377209 17503664440 26924754418 35007328880 53849508836 67311886045 107699017672 134623772090 215398035344 228860412553 269247544180 457720825106 538495088360 915441650212 1076990176720 1144302062765 1830883300424 2288604125530 3661766600848 4577208251060 9154416502120 18308833004240