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34481260017 = 323831251113
BaseRepresentation
bin100000000111001111…
…100100010111110001
310022000001120111110100
4200013033210113301
51031104200310032
623501313023013
72330322605601
oct400717442761
9108001514410
1034481260017
1113694855006
126823854a69
133336909b49
141951676c01
15d6c26497c
hex8073e45f1

34481260017 has 6 divisors (see below), whose sum is σ = 49806264482. Its totient is φ = 22987506672.

The previous prime is 34481260013. The next prime is 34481260031. The reversal of 34481260017 is 71006218443.

34481260017 is a `hidden beast` number, since 3 + 4 + 48 + 1 + 2 + 600 + 1 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28195783056 + 6285476961 = 167916^2 + 79281^2 .

It is not a de Polignac number, because 34481260017 - 22 = 34481260013 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34481260013) 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 5 ways as a sum of consecutive naturals, for example, 1915625548 + ... + 1915625565.

Almost surely, 234481260017 is an apocalyptic number.

It is an amenable number.

34481260017 is a deficient number, since it is larger than the sum of its proper divisors (15325004465).

34481260017 is a wasteful number, since it uses less digits than its factorization.

34481260017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831251119 (or 3831251116 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 34481260017 in words is "thirty-four billion, four hundred eighty-one million, two hundred sixty thousand, seventeen".

Divisors: 1 3 9 3831251113 11493753339 34481260017