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18865059840 = 211335116203
BaseRepresentation
bin10001100100011100…
…011111100000000000
31210200201221100001000
4101210130133200000
5302113423403330
612355543412000
71235331235314
oct214434374000
953621840030
1018865059840
11800091a750
1237a5a54000
131a18512503
14cad68db44
157562d2560
hex46471f800

18865059840 has 384 divisors, whose sum is σ = 73167494400. Its totient is φ = 4572610560.

The previous prime is 18865059823. The next prime is 18865059859. The reversal of 18865059840 is 4895056881.

It is a happy number.

18865059840 is a `hidden beast` number, since 1 + 8 + 8 + 6 + 5 + 0 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3038179 + ... + 3044381.

It is an arithmetic number, because the mean of its divisors is an integer number (190540350).

Almost surely, 218865059840 is an apocalyptic number.

18865059840 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 18865059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36583747200).

18865059840 is an abundant number, since it is smaller than the sum of its proper divisors (54302434560).

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

18865059840 is a wasteful number, since it uses less digits than its factorization.

18865059840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6250 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 18865059840 in words is "eighteen billion, eight hundred sixty-five million, fifty-nine thousand, eight hundred forty".