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209208639672 = 23355319110631
BaseRepresentation
bin1100001011010111001…
…1101000000010111000
3202000000002222001100000
43002311303220002320
511411424402432142
6240035323113000
721054246044664
oct3026563500270
9660002861300
10209208639672
11807a790650a
1234667672760
13169610900a6
14a1a90c78a4
155696b1514c
hex30b5ce80b8

209208639672 has 192 divisors, whose sum is σ = 601869864960. Its totient is φ = 68055811200.

The previous prime is 209208639641. The next prime is 209208639713. The reversal of 209208639672 is 276936802902.

It is a happy number.

209208639672 is a `hidden beast` number, since 20 + 92 + 0 + 86 + 396 + 72 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19673797 + ... + 19684427.

It is an arithmetic number, because the mean of its divisors is an integer number (3134738880).

Almost surely, 2209208639672 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 209208639672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300934932480).

209208639672 is an abundant number, since it is smaller than the sum of its proper divisors (392661225288).

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

209208639672 is a wasteful number, since it uses less digits than its factorization.

209208639672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10896 (or 10880 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 209208639672 in words is "two hundred nine billion, two hundred eight million, six hundred thirty-nine thousand, six hundred seventy-two".