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39384142479 = 32113113197961
BaseRepresentation
bin100100101011011110…
…100101001010001111
310202122202012201210200
4210223132211022033
51121124320024404
630032014504543
72562655454553
oct445336451217
9122582181720
1039384142479
111578035a190
127771805153
1339385c3c26
141c98897863
1510578d5839
hex92b7a528f

39384142479 has 48 divisors (see below), whose sum is σ = 64551472128. Its totient is φ = 22922640000.

The previous prime is 39384142477. The next prime is 39384142487. The reversal of 39384142479 is 97424148393.

39384142479 is a `hidden beast` number, since 3 + 9 + 384 + 14 + 247 + 9 = 666.

It is not a de Polignac number, because 39384142479 - 21 = 39384142477 is a prime.

It is a super-2 number, since 2×393841424792 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39384142477) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 353059 + ... + 451019.

It is an arithmetic number, because the mean of its divisors is an integer number (1344822336).

Almost surely, 239384142479 is an apocalyptic number.

39384142479 is a deficient number, since it is larger than the sum of its proper divisors (25167329649).

39384142479 is a wasteful number, since it uses less digits than its factorization.

39384142479 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98140 (or 98137 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 39384142479 in words is "thirty-nine billion, three hundred eighty-four million, one hundred forty-two thousand, four hundred seventy-nine".

Divisors: 1 3 9 11 31 33 93 99 131 279 341 393 1023 1179 1441 3069 4061 4323 12183 12969 36549 44671 97961 134013 293883 402039 881649 1077571 3036791 3232713 9110373 9698139 12832891 27331119 33404701 38498673 100214103 115496019 141161801 300642309 397819621 423485403 1193458863 1270456209 3580376589 4376015831 13128047493 39384142479