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18818305020 = 22335162721419
BaseRepresentation
bin10001100001101010…
…001000101111111100
31210120110221221111000
4101201222020233330
5302014441230040
612351153330300
71234222645014
oct214152105774
953513857430
1018818305020
117a874960a9
123792266990
131a0b922238
14ca739cc44
15752149130
hex461a88bfc

18818305020 has 96 divisors (see below), whose sum is σ = 58584556800. Its totient is φ = 5014896192.

The previous prime is 18818305019. The next prime is 18818305031. The reversal of 18818305020 is 2050381881.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 867871 + ... + 889289.

It is an arithmetic number, because the mean of its divisors is an integer number (610255800).

Almost surely, 218818305020 is an apocalyptic number.

18818305020 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 18818305020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29292278400).

18818305020 is an abundant number, since it is smaller than the sum of its proper divisors (39766251780).

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

18818305020 is a wasteful number, since it uses less digits than its factorization.

18818305020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23064 (or 23056 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 18818305020 in words is "eighteen billion, eight hundred eighteen million, three hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1627 3254 4881 6508 8135 9762 14643 16270 19524 21419 24405 29286 32540 42838 43929 48810 58572 64257 73215 85676 87858 97620 107095 128514 146430 175716 192771 214190 219645 257028 292860 321285 385542 428380 439290 578313 642570 771084 878580 963855 1156626 1285140 1927710 2313252 2891565 3855420 5783130 11566260 34848713 69697426 104546139 139394852 174243565 209092278 313638417 348487130 418184556 522730695 627276834 696974260 940915251 1045461390 1254553668 1568192085 1881830502 2090922780 3136384170 3763661004 4704576255 6272768340 9409152510 18818305020