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34246166013 = 34422792173
BaseRepresentation
bin11111111001001110…
…110000010111111101
310021101200012111010000
4133321032300113331
51030114004303023
623422114104513
72321436415413
oct377116602775
9107350174100
1034246166013
1113584082444
126778b7b139
1332c9cb6077
14192c35b2b3
15d567c7243
hex7f93b05fd

34246166013 has 10 divisors (see below), whose sum is σ = 51157853054. Its totient is φ = 22830777288.

The previous prime is 34246165999. The next prime is 34246166021. The reversal of 34246166013 is 31066164243.

34246166013 is a `hidden beast` number, since 3 + 4 + 2 + 46 + 1 + 6 + 601 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34017006969 + 229159044 = 184437^2 + 15138^2 .

It is not a de Polignac number, because 34246166013 - 28 = 34246165757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34246166083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 211396006 + ... + 211396167.

Almost surely, 234246166013 is an apocalyptic number.

It is an amenable number.

34246166013 is a deficient number, since it is larger than the sum of its proper divisors (16911687041).

34246166013 is an equidigital number, since it uses as much as digits as its factorization.

34246166013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422792185 (or 422792176 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 34246166013 in words is "thirty-four billion, two hundred forty-six million, one hundred sixty-six thousand, thirteen".

Divisors: 1 3 9 27 81 422792173 1268376519 3805129557 11415388671 34246166013