Search a number
-
+
18483021010000 = 24541726395509
BaseRepresentation
bin1000011001111011010011…
…11001101101010001010000
32102102221220111212022022201
410030331221321231101100
54410311211334310000
6103150552125412544
73615232330245511
oct414755171552120
972387814768281
1018483021010000
115986672566208
1220a617240a154
13a40c313520b1
1447c823a20a08
15220bbc0b496a
hex10cf69e6d450

18483021010000 has 150 divisors (see below), whose sum is σ = 47536399631270. Its totient is φ = 6958312704000.

The previous prime is 18483021009913. The next prime is 18483021010021. The reversal of 18483021010000 is 1012038481.

It can be written as a sum of positive squares in 15 ways, for example, as 12658965507136 + 5824055502864 = 3557944^2 + 2413308^2 .

It is a super-2 number, since 2×184830210100002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 307755 + ... + 6087754.

Almost surely, 218483021010000 is an apocalyptic number.

18483021010000 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 18483021010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23768199815635).

18483021010000 is an abundant number, since it is smaller than the sum of its proper divisors (29053378621270).

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

18483021010000 is an equidigital number, since it uses as much as digits as its factorization.

18483021010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6395571 (or 6395533 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

Adding to 18483021010000 its reverse (1012038481), we get a palindrome (18484033048481).

The spelling of 18483021010000 in words is "eighteen trillion, four hundred eighty-three billion, twenty-one million, ten thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 289 340 400 425 500 578 625 680 850 1000 1156 1250 1360 1445 1700 2000 2125 2312 2500 2890 3400 4250 4624 5000 5780 6800 7225 8500 10000 10625 11560 14450 17000 21250 23120 28900 34000 36125 42500 57800 72250 85000 115600 144500 170000 180625 289000 361250 578000 722500 1445000 2890000 6395509 12791018 25582036 31977545 51164072 63955090 102328144 108723653 127910180 159887725 217447306 255820360 319775450 434894612 511640720 543618265 639550900 799438625 869789224 1087236530 1279101800 1598877250 1739578448 1848302101 2174473060 2558203600 2718091325 3197754500 3696604202 3997193125 4348946120 5436182650 6395509000 7393208404 7994386250 8697892240 9241510505 10872365300 12791018000 13590456625 14786416808 15988772500 18483021010 21744730600 27180913250 29572833616 31977545000 36966042020 43489461200 46207552525 54361826500 63955090000 67952283125 73932084040 92415105050 108723653000 135904566250 147864168080 184830210100 217447306000 231037762625 271809132500 369660420200 462075525250 543618265000 739320840400 924151050500 1087236530000 1155188813125 1848302101000 2310377626250 3696604202000 4620755252500 9241510505000 18483021010000