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38941523712 = 28367132293
BaseRepresentation
bin100100010001000110…
…000111111100000000
310201111220100101000000
4210101012013330000
51114223012224322
625520044000000
72546002330050
oct442106077400
9121456311000
1038941523712
1115573525153
127669530000
1338979acb30
141c55b9b560
15102db043ac
hex911187f00

38941523712 has 504 divisors, whose sum is σ = 143500197344. Its totient is φ = 10265812992.

The previous prime is 38941523711. The next prime is 38941523837. The reversal of 38941523712 is 21732514983.

It is a happy number.

38941523712 is a `hidden beast` number, since 3 + 89 + 41 + 523 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38941523711) 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 55 ways as a sum of consecutive naturals, for example, 16981638 + ... + 16983930.

Almost surely, 238941523712 is an apocalyptic number.

38941523712 is a gapful number since it is divisible by the number (32) 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 38941523712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71750098672).

38941523712 is an abundant number, since it is smaller than the sum of its proper divisors (104558673632).

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

38941523712 is an equidigital number, since it uses as much as digits as its factorization.

38941523712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2318 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 38941523712 in words is "thirty-eight billion, nine hundred forty-one million, five hundred twenty-three thousand, seven hundred twelve".