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18348996120 = 233571323431699
BaseRepresentation
bin10001000101101011…
…110111011000011000
31202100202212120200220
4101011223313120120
5300034320333440
612232430400040
71216463615340
oct210553673030
952322776626
1018348996120
117866591404
123681060020
131965624870
14c60d15d20
15725d448d0
hex445af7618

18348996120 has 512 divisors, whose sum is σ = 72382464000. Its totient is φ = 3614865408.

The previous prime is 18348996109. The next prime is 18348996191. The reversal of 18348996120 is 2169984381.

It is a super-2 number, since 2×183489961202 (a number of 21 digits) contains 22 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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10799031 + ... + 10800729.

It is an arithmetic number, because the mean of its divisors is an integer number (141372000).

Almost surely, 218348996120 is an apocalyptic number.

18348996120 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 18348996120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36191232000).

18348996120 is an abundant number, since it is smaller than the sum of its proper divisors (54033467880).

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

18348996120 is a wasteful number, since it uses less digits than its factorization.

18348996120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 18348996120 in words is "eighteen billion, three hundred forty-eight million, nine hundred ninety-six thousand, one hundred twenty".