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18329529680 = 24571113921407
BaseRepresentation
bin10001000100100001…
…100110110101010000
31202022102020120202122
4101010201212311100
5300014324422210
612230453233412
71216136301020
oct210441466520
952272216678
1018329529680
1178565a5a40
123676632868
13196159a267
14c5c4c9a80
1572429bb55
hex444866d50

18329529680 has 160 divisors (see below), whose sum is σ = 53516574720. Its totient is φ = 5671733760.

The previous prime is 18329529649. The next prime is 18329529689. The reversal of 18329529680 is 8692592381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18329529689) by changing a digit.

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, 845537 + ... + 866943.

It is an arithmetic number, because the mean of its divisors is an integer number (334478592).

Almost surely, 218329529680 is an apocalyptic number.

18329529680 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 18329529680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26758287360).

18329529680 is an abundant number, since it is smaller than the sum of its proper divisors (35187045040).

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

18329529680 is a wasteful number, since it uses less digits than its factorization.

18329529680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21577 (or 21571 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 53.

The spelling of 18329529680 in words is "eighteen billion, three hundred twenty-nine million, five hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 139 140 154 176 220 278 280 308 385 440 556 560 616 695 770 880 973 1112 1232 1390 1529 1540 1946 2224 2780 3058 3080 3892 4865 5560 6116 6160 7645 7784 9730 10703 11120 12232 15290 15568 19460 21406 21407 24464 30580 38920 42812 42814 53515 61160 77840 85624 85628 107030 107035 122320 149849 171248 171256 214060 214070 235477 299698 342512 428120 428140 470954 599396 749245 856240 856280 941908 1177385 1198792 1498490 1648339 1712560 1883816 2354770 2397584 2975573 2996980 3296678 3767632 4709540 5951146 5993960 6593356 8241695 9419080 11902292 11987920 13186712 14877865 16483390 18838160 20829011 23804584 26373424 29755730 32731303 32966780 41658022 47609168 59511460 65462606 65933560 83316044 104145055 119022920 130925212 131867120 163656515 166632088 208290110 229119121 238045840 261850424 327313030 333264176 416580220 458238242 523700848 654626060 833160440 916476484 1145595605 1309252120 1666320880 1832952968 2291191210 2618504240 3665905936 4582382420 9164764840 18329529680