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18553982980 = 225131931121157
BaseRepresentation
bin10001010001111001…
…110101000000000100
31202220001120222210211
4101101321311000010
5300444304423410
612305032125204
71224533152561
oct212171650004
952801528724
1018553982980
117961270035
123719836804
131998c36970
14c80235868
15738d3668a
hex451e75004

18553982980 has 96 divisors (see below), whose sum is σ = 45594178560. Its totient is φ = 6280727040.

The previous prime is 18553982969. The next prime is 18553982981. The reversal of 18553982980 is 8928935581.

It is not an unprimeable number, because it can be changed into a prime (18553982981) 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, 92562 + ... + 213718.

It is an arithmetic number, because the mean of its divisors is an integer number (474939360).

Almost surely, 218553982980 is an apocalyptic number.

18553982980 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 18553982980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22797089280).

18553982980 is an abundant number, since it is smaller than the sum of its proper divisors (27040195580).

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

18553982980 is a wasteful number, since it uses less digits than its factorization.

18553982980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121229 (or 121227 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 58.

The spelling of 18553982980 in words is "eighteen billion, five hundred fifty-three million, nine hundred eighty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 19 20 26 31 38 52 62 65 76 95 124 130 155 190 247 260 310 380 403 494 589 620 806 988 1178 1235 1612 2015 2356 2470 2945 4030 4940 5890 7657 8060 11780 15314 30628 38285 76570 121157 153140 242314 484628 605785 1211570 1575041 2301983 2423140 3150082 3755867 4603966 6300164 7511734 7875205 9207932 11509915 15023468 15750410 18779335 23019830 29925779 31500820 37558670 46039660 48826271 59851558 71361473 75117340 97652542 119703116 142722946 149628895 195305084 244131355 285445892 299257790 356807365 488262710 598515580 713614730 927699149 976525420 1427229460 1855398298 3710796596 4638495745 9276991490 18553982980