Search a number
-
+
18343330912 = 2531117115791
BaseRepresentation
bin10001000101010110…
…010000010001100000
31202100101012202111101
4101011112100101200
5300031343042122
612232105124144
71216364511604
oct210526202140
952311182441
1018343330912
117863372015
12367b189654
1319643c007a
14c6027d504
157255c6027
hex445590460

18343330912 has 48 divisors (see below), whose sum is σ = 37312579584. Its totient is φ = 8867664000.

The previous prime is 18343330903. The next prime is 18343330933. The reversal of 18343330912 is 21903334381.

It is a happy number.

It is a super-3 number, since 3×183433309123 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1153737 + ... + 1169527.

It is an arithmetic number, because the mean of its divisors is an integer number (777345408).

Almost surely, 218343330912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18343330912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18656289792).

18343330912 is an abundant number, since it is smaller than the sum of its proper divisors (18969248672).

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

18343330912 is a wasteful number, since it uses less digits than its factorization.

18343330912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17003 (or 16995 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 18343330912 in words is "eighteen billion, three hundred forty-three million, three hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 1171 2342 4684 9368 15791 18736 31582 36301 37472 63164 72602 126328 145204 252656 290408 489521 505312 580816 979042 1161632 1958084 3916168 7832336 15664672 18491261 36982522 73965044 147930088 295860176 573229091 591720352 1146458182 2292916364 4585832728 9171665456 18343330912