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17994563840 = 285112415303
BaseRepresentation
bin10000110000100011…
…110100000100000000
31201110001221120000102
4100300203310010000
5243323102020330
612133325541532
71204631161151
oct206043640400
951401846012
1017994563840
1176a450a170
1235a24148a8
13190a079116
14c29c13928
15704b82945
hex4308f4100

17994563840 has 144 divisors (see below), whose sum is σ = 47225033856. Its totient is φ = 6515097600.

The previous prime is 17994563791. The next prime is 17994563861. The reversal of 17994563840 is 4836549971.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3390629 + ... + 3395931.

It is an arithmetic number, because the mean of its divisors is an integer number (327951624).

Almost surely, 217994563840 is an apocalyptic number.

17994563840 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 17994563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23612516928).

17994563840 is an abundant number, since it is smaller than the sum of its proper divisors (29230470016).

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

17994563840 is a wasteful number, since it uses less digits than its factorization.

17994563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5576 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 17994563840 in words is "seventeen billion, nine hundred ninety-four million, five hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 241 256 320 352 440 482 640 704 880 964 1205 1280 1408 1760 1928 2410 2651 2816 3520 3856 4820 5302 5303 7040 7712 9640 10604 10606 13255 14080 15424 19280 21208 21212 26510 26515 30848 38560 42416 42424 53020 53030 58333 61696 77120 84832 84848 106040 106060 116666 154240 169664 169696 212080 212120 233332 291665 308480 339328 339392 424160 424240 466664 583330 678656 678784 848320 848480 933328 1166660 1278023 1357568 1696640 1696960 1866656 2333320 2556046 3393280 3393920 3733312 4666640 5112092 6390115 6787840 7466624 9333280 10224184 12780230 14058253 14933248 18666560 20448368 25560460 28116506 37333120 40896736 51120920 56233012 70291265 74666240 81793472 102241840 112466024 140582530 163586944 204483680 224932048 281165060 327173888 408967360 449864096 562330120 817934720 899728192 1124660240 1635869440 1799456384 2249320480 3598912768 4498640960 8997281920 17994563840