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638522068932 = 2233112235936007
BaseRepresentation
bin10010100101010101110…
…00011000111111000100
32021001010200220220201000
421102222320120333010
540430143122201212
61205155531533300
764063113014616
oct11225270307704
92231120826630
10638522068932
11226883075100
12a38bb8ba230
134829b776837
1422c94454db6
1511921c191dc
hex94aae18fc4

638522068932 has 288 divisors, whose sum is σ = 1930950604800. Its totient is φ = 181936877760.

The previous prime is 638522068913. The next prime is 638522068949. The reversal of 638522068932 is 239860225836.

638522068932 is a `hidden beast` number, since 6 + 3 + 8 + 522 + 0 + 6 + 89 + 32 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17715273 + ... + 17751279.

It is an arithmetic number, because the mean of its divisors is an integer number (6704689600).

Almost surely, 2638522068932 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 638522068932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965475302400).

638522068932 is an abundant number, since it is smaller than the sum of its proper divisors (1292428535868).

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

638522068932 is a wasteful number, since it uses less digits than its factorization.

638522068932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36124 (or 36105 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 638522068932 in words is "six hundred thirty-eight billion, five hundred twenty-two million, sixty-eight thousand, nine hundred thirty-two".