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18196763904 = 28321119233153
BaseRepresentation
bin10000111100100111…
…001001010100000000
31201222011102101100200
4100330213021110000
5244231332421104
612205351445200
71212634640544
oct207447112400
951864371320
1018196763904
117798665060
12363a086800
13193cc23927
14c48a09a24
157177c3b39
hex43c9c9500

18196763904 has 864 divisors, whose sum is σ = 66119639040. Its totient is φ = 4744396800.

The previous prime is 18196763903. The next prime is 18196763987. The reversal of 18196763904 is 40936769181.

18196763904 is a `hidden beast` number, since 181 + 9 + 6 + 76 + 390 + 4 = 666.

It is a super-2 number, since 2×181967639042 (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 (18196763903) 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 95 ways as a sum of consecutive naturals, for example, 343335142 + ... + 343335194.

It is an arithmetic number, because the mean of its divisors is an integer number (76527360).

Almost surely, 218196763904 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 18196763904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33059819520).

18196763904 is an abundant number, since it is smaller than the sum of its proper divisors (47922875136).

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

18196763904 is a wasteful number, since it uses less digits than its factorization.

18196763904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 18196763904 in words is "eighteen billion, one hundred ninety-six million, seven hundred sixty-three thousand, nine hundred four".