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18219948720 = 2435593128021
BaseRepresentation
bin10000111101111111…
…100101101010110000
31202000210001021221120
4100331333211222300
5244303301324340
612211540422240
71213336003011
oct207577455260
952023037846
1018219948720
1177aa760166
1236459a7980
13194498085c
14c4bb23008
157198534d0
hex43dfe5ab0

18219948720 has 80 divisors (see below), whose sum is σ = 56577530592. Its totient is φ = 4850421760.

The previous prime is 18219948707. The next prime is 18219948763. The reversal of 18219948720 is 2784991281.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78310 + ... + 206330.

Almost surely, 218219948720 is an apocalyptic number.

18219948720 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 18219948720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28288765296).

18219948720 is an abundant number, since it is smaller than the sum of its proper divisors (38357581872).

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

18219948720 is a wasteful number, since it uses less digits than its factorization.

18219948720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128630 (or 128624 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 18219948720 in words is "eighteen billion, two hundred nineteen million, nine hundred forty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 593 1186 1779 2372 2965 3558 4744 5930 7116 8895 9488 11860 14232 17790 23720 28464 35580 47440 71160 128021 142320 256042 384063 512084 640105 768126 1024168 1280210 1536252 1920315 2048336 2560420 3072504 3840630 5120840 6145008 7681260 10241680 15362520 30725040 75916453 151832906 227749359 303665812 379582265 455498718 607331624 759164530 910997436 1138746795 1214663248 1518329060 1821994872 2277493590 3036658120 3643989744 4554987180 6073316240 9109974360 18219948720