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18628468830 = 23352332771069
BaseRepresentation
bin10001010110010101…
…111110000001011110
31210002020202021012000
4101112111332001132
5301122342000310
612320252423130
71226426241516
oct212625760136
953066667160
1018628468830
11799a315394
12373a777aa6
1319ab4b622a
14c8a0a4846
1574064b4c0
hex45657e05e

18628468830 has 128 divisors (see below), whose sum is σ = 50116060800. Its totient is φ = 4923804672.

The previous prime is 18628468801. The next prime is 18628468853. The reversal of 18628468830 is 3886482681.

18628468830 is a `hidden beast` number, since 1 + 8 + 628 + 4 + 6 + 8 + 8 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17425536 + ... + 17426604.

It is an arithmetic number, because the mean of its divisors is an integer number (391531725).

Almost surely, 218628468830 is an apocalyptic number.

18628468830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18628468830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25058030400).

18628468830 is an abundant number, since it is smaller than the sum of its proper divisors (31487591970).

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

18628468830 is a wasteful number, since it uses less digits than its factorization.

18628468830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 18628468830 in words is "eighteen billion, six hundred twenty-eight million, four hundred sixty-eight thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 233 270 277 466 554 699 831 1069 1165 1385 1398 1662 2097 2138 2330 2493 2770 3207 3495 4155 4194 4986 5345 6291 6414 6990 7479 8310 9621 10485 10690 12465 12582 14958 16035 19242 20970 24930 28863 31455 32070 37395 48105 57726 62910 64541 74790 96210 129082 144315 193623 249077 288630 296113 322705 387246 498154 580869 592226 645410 747231 888339 968115 1161738 1245385 1480565 1494462 1742607 1776678 1936230 2241693 2490770 2665017 2904345 2961130 3485214 3736155 4441695 4483386 5330034 5808690 6725079 7472310 7995051 8713035 8883390 11208465 13325085 13450158 15990102 17426070 22416930 26650170 33625395 39975255 67250790 68994329 79950510 137988658 206982987 344971645 413965974 620948961 689943290 1034914935 1241897922 1862846883 2069829870 3104744805 3725693766 6209489610 9314234415 18628468830