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389606048208 = 243213273321841
BaseRepresentation
bin1011010101101100101…
…01001000000111010000
31101020122022111220121100
411222312111020013100
522340403122020313
6454552121424400
740101541524366
oct5526625100720
91336568456540
10389606048208
1114025a5035a3
126361233b100
132a980149500
1414bdd9b1636
15a20416e173
hex5ab65481d0

389606048208 has 180 divisors, whose sum is σ = 1182346032972. Its totient is φ = 119709757440.

The previous prime is 389606048207. The next prime is 389606048219. The reversal of 389606048208 is 802840606983.

389606048208 is a `hidden beast` number, since 3 + 8 + 9 + 6 + 0 + 604 + 8 + 20 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 76713488784 + 312892559424 = 276972^2 + 559368^2 .

It is a super-2 number, since 2×3896060482082 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389606048207) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 17827368 + ... + 17849208.

Almost surely, 2389606048208 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 389606048208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591173016486).

389606048208 is an abundant number, since it is smaller than the sum of its proper divisors (792739984764).

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

389606048208 is a wasteful number, since it uses less digits than its factorization.

389606048208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22614 (or 22592 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 389606048208 in words is "three hundred eighty-nine billion, six hundred six million, forty-eight thousand, two hundred eight".