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1821231918 = 2331123313159
BaseRepresentation
bin110110010001101…
…1100101100101110
311200220222011112000
41230203130230232
512212213410133
6500415153130
763063134022
oct15443345456
94626864460
101821231918
11855046550
12429b157a6
1323041512c
14133c42382
15a9d4e413
hex6c8dcb2e

1821231918 has 64 divisors (see below), whose sum is σ = 4434393600. Its totient is φ = 549478080.

The previous prime is 1821231911. The next prime is 1821231949. The reversal of 1821231918 is 8191321281.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1821231911) by changing a digit.

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, 131823 + ... + 144981.

It is an arithmetic number, because the mean of its divisors is an integer number (69287400).

Almost surely, 21821231918 is an apocalyptic number.

1821231918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1821231918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217196800).

1821231918 is an abundant number, since it is smaller than the sum of its proper divisors (2613161682).

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

1821231918 is a wasteful number, since it uses less digits than its factorization.

1821231918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13414 (or 13408 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 1821231918 is about 42675.8938746454. The cubic root of 1821231918 is about 1221.2045609855.

It can be divided in two parts, 182123 and 1918, that added together give a square (184041 = 4292).

The spelling of 1821231918 in words is "one billion, eight hundred twenty-one million, two hundred thirty-one thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 233 297 466 594 699 1398 2097 2563 4194 5126 6291 7689 12582 13159 15378 23067 26318 39477 46134 69201 78954 118431 138402 144749 236862 289498 355293 434247 710586 868494 1302741 2605482 3066047 3908223 6132094 7816446 9198141 18396282 27594423 33726517 55188846 67453034 82783269 101179551 165566538 202359102 303538653 607077306 910615959 1821231918