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18438539040 = 2532513992119
BaseRepresentation
bin10001001011000001…
…011100011100100000
31202121000100211111100
4101023001130130200
5300230231222130
612245345514400
71221631665405
oct211301343440
952530324440
1018438539040
117902090319
1236a7042a00
13197b04673c
14c6cb842ac
1572db30c60
hex44b05c720

18438539040 has 144 divisors (see below), whose sum is σ = 63374875200. Its totient is φ = 4881517056.

The previous prime is 18438539029. The next prime is 18438539057. The reversal of 18438539040 is 4093583481.

18438539040 is a `hidden beast` number, since 1 + 84 + 38 + 539 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 154101 + ... + 246219.

It is an arithmetic number, because the mean of its divisors is an integer number (440103300).

Almost surely, 218438539040 is an apocalyptic number.

18438539040 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 18438539040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31687437600).

18438539040 is an abundant number, since it is smaller than the sum of its proper divisors (44936336160).

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

18438539040 is a wasteful number, since it uses less digits than its factorization.

18438539040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92279 (or 92268 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 18438539040 in words is "eighteen billion, four hundred thirty-eight million, five hundred thirty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 139 144 160 180 240 278 288 360 417 480 556 695 720 834 1112 1251 1390 1440 1668 2085 2224 2502 2780 3336 4170 4448 5004 5560 6255 6672 8340 10008 11120 12510 13344 16680 20016 22240 25020 33360 40032 50040 66720 92119 100080 184238 200160 276357 368476 460595 552714 736952 829071 921190 1105428 1381785 1473904 1658142 1842380 2210856 2763570 2947808 3316284 3684760 4145355 4421712 5527140 6632568 7369520 8290710 8843424 11054280 12804541 13265136 14739040 16581420 22108560 25609082 26530272 33162840 38413623 44217120 51218164 64022705 66325680 76827246 102436328 115240869 128045410 132651360 153654492 192068115 204872656 230481738 256090820 307308984 384136230 409745312 460963476 512181640 576204345 614617968 768272460 921926952 1024363280 1152408690 1229235936 1536544920 1843853904 2048726560 2304817380 3073089840 3687707808 4609634760 6146179680 9219269520 18438539040