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18730762340 = 22531373892099
BaseRepresentation
bin10001011100011100…
…001100000001100100
31210100101020022111112
4101130130030001210
5301330033343330
612334345124152
71232110565363
oct213434140144
953311208445
1018730762340
117a42032a84
123768a89658
1319c6750934
14c998d17da
15749605795
hex45c70c064

18730762340 has 96 divisors (see below), whose sum is σ = 41827968000. Its totient is φ = 7033167360.

The previous prime is 18730762331. The next prime is 18730762361. The reversal of 18730762340 is 4326703781.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8922611 + ... + 8924709.

It is an arithmetic number, because the mean of its divisors is an integer number (435708000).

Almost surely, 218730762340 is an apocalyptic number.

18730762340 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 18730762340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913984000).

18730762340 is an abundant number, since it is smaller than the sum of its proper divisors (23097205660).

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

18730762340 is a wasteful number, since it uses less digits than its factorization.

18730762340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 18730762340 in words is "eighteen billion, seven hundred thirty million, seven hundred sixty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 37 62 74 124 148 155 185 310 370 389 620 740 778 1147 1556 1945 2099 2294 3890 4198 4588 5735 7780 8396 10495 11470 12059 14393 20990 22940 24118 28786 41980 48236 57572 60295 65069 71965 77663 120590 130138 143930 155326 241180 260276 287860 310652 325345 388315 446183 650690 776630 816511 892366 1301380 1553260 1633022 1784732 2230915 2407553 3266044 4082555 4461830 4815106 8165110 8923660 9630212 12037765 16330220 24075530 25311841 30210907 48151060 50623682 60421814 101247364 120843628 126559205 151054535 253118410 302109070 506236820 604218140 936538117 1873076234 3746152468 4682690585 9365381170 18730762340