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18518430312 = 23322341311877
BaseRepresentation
bin10001001111110010…
…001101001001101000
31202210120200201201100
4101033302031021220
5300411204232222
612301322121400
71223622026514
oct211762151150
952716621640
1018518430312
117943197868
123709950260
131991769495
14c7961d144
15735b624ac
hex44fc8d268

18518430312 has 192 divisors, whose sum is σ = 53844860160. Its totient is φ = 5735347200.

The previous prime is 18518430311. The next prime is 18518430367. The reversal of 18518430312 is 21303481581.

18518430312 is a `hidden beast` number, since 185 + 18 + 430 + 31 + 2 = 666.

It is a super-2 number, since 2×185184303122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18518430311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21115218 + ... + 21116094.

It is an arithmetic number, because the mean of its divisors is an integer number (280441980).

Almost surely, 218518430312 is an apocalyptic number.

18518430312 is a gapful number since it is divisible by the number (12) 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 18518430312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26922430080).

18518430312 is an abundant number, since it is smaller than the sum of its proper divisors (35326429848).

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

18518430312 is a wasteful number, since it uses less digits than its factorization.

18518430312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

It can be divided in two parts, 185184 and 30312, that added together give a triangular number (215496 = T656).

The spelling of 18518430312 in words is "eighteen billion, five hundred eighteen million, four hundred thirty thousand, three hundred twelve".