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18770442000 = 2435319164653
BaseRepresentation
bin10001011110110011…
…100011011100010000
31210110010220020202120
4101132303203130100
5301420213121000
612342323414240
71233102060462
oct213663433420
953403806676
1018770442000
117a62474992
12377a224380
131a01a3471b
14ca0ca0132
1574cd426a0
hex45ece3710

18770442000 has 160 divisors (see below), whose sum is σ = 63701339520. Its totient is φ = 4741977600.

The previous prime is 18770441993. The next prime is 18770442059. The reversal of 18770442000 is 24407781.

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 31 ways as a sum of consecutive naturals, for example, 31674 + ... + 196326.

It is an arithmetic number, because the mean of its divisors is an integer number (398133372).

Almost surely, 218770442000 is an apocalyptic number.

18770442000 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 18770442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31850669760).

18770442000 is an abundant number, since it is smaller than the sum of its proper divisors (44930897520).

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

18770442000 is a wasteful number, since it uses less digits than its factorization.

18770442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164698 (or 164682 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

Adding to 18770442000 its reverse (24407781), we get a palindrome (18794849781).

The spelling of 18770442000 in words is "eighteen billion, seven hundred seventy million, four hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 228 240 250 285 300 304 375 380 400 456 475 500 570 600 750 760 912 950 1000 1140 1200 1425 1500 1520 1900 2000 2280 2375 2850 3000 3800 4560 4750 5700 6000 7125 7600 9500 11400 14250 19000 22800 28500 38000 57000 114000 164653 329306 493959 658612 823265 987918 1317224 1646530 1975836 2469795 2634448 3128407 3293060 3951672 4116325 4939590 6256814 6586120 7903344 8232650 9385221 9879180 12348975 12513628 13172240 15642035 16465300 18770442 19758360 20581625 24697950 25027256 31284070 32930600 37540884 39516720 41163250 46926105 49395900 50054512 61744875 62568140 65861200 75081768 78210175 82326500 93852210 98791800 123489750 125136280 150163536 156420350 164653000 187704420 197583600 234630525 246979500 250272560 312840700 329306000 375408840 391050875 469261050 493959000 625681400 750817680 782101750 938522100 987918000 1173152625 1251362800 1564203500 1877044200 2346305250 3128407000 3754088400 4692610500 6256814000 9385221000 18770442000