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18058368000 = 210353313741
BaseRepresentation
bin10000110100010111…
…001101010000000000
31201121112000010212110
4100310113031100000
5243440420234000
612143525255320
71206334411131
oct206427152000
951545003773
1018058368000
117727529182
1235bb864540
13191a35876a
14c344a1c88
1570a587850
hex4345cd400

18058368000 has 704 divisors, whose sum is σ = 65235695616. Its totient is φ = 4423680000.

The previous prime is 18058367941. The next prime is 18058368007. The reversal of 18058368000 is 86385081.

It is a happy number.

It is a super-2 number, since 2×180583680002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18058368000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18058368007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 440447980 + ... + 440448020.

Almost surely, 218058368000 is an apocalyptic number.

18058368000 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 18058368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32617847808).

18058368000 is an abundant number, since it is smaller than the sum of its proper divisors (47177327616).

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

18058368000 is a wasteful number, since it uses less digits than its factorization.

18058368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 18058368000 in words is "eighteen billion, fifty-eight million, three hundred sixty-eight thousand".