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39116418336 = 2532135820897
BaseRepresentation
bin100100011011100001…
…010010110100100000
310201222002102221022200
4210123201102310200
51120102300341321
625545252333200
72553225032652
oct443341226440
9121862387280
1039116418336
1115653220066
1276b8014200
1338c4cb6c88
141c710c66d2
15103e14ed26
hex91b852d20

39116418336 has 36 divisors (see below), whose sum is σ = 111237315462. Its totient is φ = 13038806016.

The previous prime is 39116418329. The next prime is 39116418349. The reversal of 39116418336 is 63381461193.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 38095232400 + 1021185936 = 195180^2 + 31956^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 39116418291 and 39116418300.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67910161 + ... + 67910736.

Almost surely, 239116418336 is an apocalyptic number.

39116418336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

39116418336 is an abundant number, since it is smaller than the sum of its proper divisors (72120897126).

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

39116418336 is a wasteful number, since it uses less digits than its factorization.

39116418336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135820913 (or 135820902 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 39116418336 in words is "thirty-nine billion, one hundred sixteen million, four hundred eighteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 135820897 271641794 407462691 543283588 814925382 1086567176 1222388073 1629850764 2173134352 2444776146 3259701528 4346268704 4889552292 6519403056 9779104584 13038806112 19558209168 39116418336