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18200318976 = 210310743
BaseRepresentation
bin10000111100110100…
…101101010000000000
31201222102010000000000
4100330310231100000
5244233240201401
612210000000000
71213010105310
oct207464552000
951872100000
1018200318976
11779a673034
12363b300000
131940899b18
14c49293440
15717c77186
hex43cd2d400

18200318976 has 484 divisors, whose sum is σ = 63820743712. Its totient is φ = 5079158784.

The previous prime is 18200318971. The next prime is 18200318993. The reversal of 18200318976 is 67981300281.

It is a super-2 number, since 2×182003189762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18200318971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 423263211 + ... + 423263253.

Almost surely, 218200318976 is an apocalyptic number.

18200318976 is a gapful number since it is divisible by the number (16) 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 18200318976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31910371856).

18200318976 is an abundant number, since it is smaller than the sum of its proper divisors (45620424736).

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

18200318976 is an frugal number, since it uses more digits than its factorization.

18200318976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 18200318976 in words is "eighteen billion, two hundred million, three hundred eighteen thousand, nine hundred seventy-six".