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18244928120 = 2354767144847
BaseRepresentation
bin10000111111011110…
…111000001001111000
31202002112001101020112
4100333132320021320
5244331200144440
612214232043452
71214061221156
oct207736701170
952075041215
1018244928120
1178128715a1
123652233588
131949bb8573
14c511863d6
1571bb39965
hex43f7b8278

18244928120 has 64 divisors (see below), whose sum is σ = 42550548480. Its totient is φ = 7036039296.

The previous prime is 18244928111. The next prime is 18244928123. The reversal of 18244928120 is 2182944281.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18244928123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53537 + ... + 198383.

It is an arithmetic number, because the mean of its divisors is an integer number (664852320).

Almost surely, 218244928120 is an apocalyptic number.

18244928120 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 18244928120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21275274240).

18244928120 is an abundant number, since it is smaller than the sum of its proper divisors (24305620360).

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

18244928120 is a wasteful number, since it uses less digits than its factorization.

18244928120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144972 (or 144968 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The spelling of 18244928120 in words is "eighteen billion, two hundred forty-four million, nine hundred twenty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 67 94 134 188 235 268 335 376 470 536 670 940 1340 1880 2680 3149 6298 12596 15745 25192 31490 62980 125960 144847 289694 579388 724235 1158776 1448470 2896940 5793880 6807809 9704749 13615618 19409498 27231236 34039045 38818996 48523745 54462472 68078090 77637992 97047490 136156180 194094980 272312360 388189960 456123203 912246406 1824492812 2280616015 3648985624 4561232030 9122464060 18244928120