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18045760000 = 295456393
BaseRepresentation
bin10000110011100111…
…000111001000000000
31201120122021120221111
4100303213013020000
5243424203310000
612142355133104
71206122300122
oct206347071000
951518246844
1018045760000
1177203a7644
1235b75a4194
131917862ac8
14c3293d212
157093e6cba
hex4339c7200

18045760000 has 100 divisors (see below), whose sum is σ = 45056719422. Its totient is φ = 7218176000.

The previous prime is 18045759997. The next prime is 18045760063. The reversal of 18045760000 is 6754081.

It can be written as a sum of positive squares in 5 ways, for example, as 21086464 + 18024673536 = 4592^2 + 134256^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 291804 + ... + 348196.

Almost surely, 218045760000 is an apocalyptic number.

18045760000 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 18045760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22528359711).

18045760000 is an abundant number, since it is smaller than the sum of its proper divisors (27010959422).

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

18045760000 is an frugal number, since it uses more digits than its factorization.

18045760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56431 (or 56400 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 18045760000 in words is "eighteen billion, forty-five million, seven hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3200 4000 5000 6400 8000 10000 12800 16000 20000 32000 40000 56393 64000 80000 112786 160000 225572 281965 320000 451144 563930 902288 1127860 1409825 1804576 2255720 2819650 3609152 4511440 5639300 7049125 7218304 9022880 11278600 14098250 14436608 18045760 22557200 28196500 28873216 35245625 36091520 45114400 56393000 70491250 72183040 90228800 112786000 140982500 144366080 180457600 225572000 281965000 360915200 451144000 563930000 721830400 902288000 1127860000 1804576000 2255720000 3609152000 4511440000 9022880000 18045760000