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18144220560 = 2435257294167
BaseRepresentation
bin10000111001011110…
…101101010110010000
31201211111112220102220
4100321132231112100
5244124410024220
612200233341040
71211426221134
oct207136552620
951744486386
1018144220560
117770a37504
123624567780
1319320879ab
14c41a4d3c4
15712d95540
hex4397ad590

18144220560 has 80 divisors (see below), whose sum is σ = 56466135936. Its totient is φ = 4819615744.

The previous prime is 18144220559. The next prime is 18144220571. The reversal of 18144220560 is 6502244181.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 85404 + ... + 208763.

Almost surely, 218144220560 is an apocalyptic number.

18144220560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18144220560 is an abundant number, since it is smaller than the sum of its proper divisors (38321915376).

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

18144220560 is a wasteful number, since it uses less digits than its factorization.

18144220560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294440 (or 294434 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 18144220560 in words is "eighteen billion, one hundred forty-four million, two hundred twenty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 257 514 771 1028 1285 1542 2056 2570 3084 3855 4112 5140 6168 7710 10280 12336 15420 20560 30840 61680 294167 588334 882501 1176668 1470835 1765002 2353336 2941670 3530004 4412505 4706672 5883340 7060008 8825010 11766680 14120016 17650020 23533360 35300040 70600080 75600919 151201838 226802757 302403676 378004595 453605514 604807352 756009190 907211028 1134013785 1209614704 1512018380 1814422056 2268027570 3024036760 3628844112 4536055140 6048073520 9072110280 18144220560