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18468207220 = 2253153737699
BaseRepresentation
bin10001001100110010…
…100111101001110100
31202200002012010120211
4101030302213221310
5300310330112340
612252325435204
71222442112511
oct211462475164
952602163524
1018468207220
117917904481
1236b4b6bb04
131984233688
14c72aa8308
157315415ea
hex44cca7a74

18468207220 has 96 divisors (see below), whose sum is σ = 41353804800. Its totient is φ = 6917114880.

The previous prime is 18468207217. The next prime is 18468207223. The reversal of 18468207220 is 2270286481.

It is an interprime number because it is at equal distance from previous prime (18468207217) and next prime (18468207223).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18468207223) by changing a digit.

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, 2394931 + ... + 2402629.

It is an arithmetic number, because the mean of its divisors is an integer number (430768800).

Almost surely, 218468207220 is an apocalyptic number.

18468207220 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 18468207220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20676902400).

18468207220 is an abundant number, since it is smaller than the sum of its proper divisors (22885597580).

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

18468207220 is a wasteful number, since it uses less digits than its factorization.

18468207220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7865 (or 7863 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 18468207220 in words is "eighteen billion, four hundred sixty-eight million, two hundred seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 53 62 73 106 124 146 155 212 265 292 310 365 530 620 730 1060 1460 1643 2263 3286 3869 4526 6572 7699 7738 8215 9052 11315 15398 15476 16430 19345 22630 30796 32860 38495 38690 45260 76990 77380 119939 153980 238669 239878 408047 477338 479756 562027 599695 816094 954676 1124054 1193345 1199390 1632188 2040235 2248108 2386690 2398780 2810135 4080470 4773380 5620270 8160940 11240540 12649457 17422837 25298914 29787431 34845674 50597828 59574862 63247285 69691348 87114185 119149724 126494570 148937155 174228370 252989140 297874310 348456740 595748620 923410361 1846820722 3693641444 4617051805 9234103610 18468207220