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34055461661 = 1319831661161
BaseRepresentation
bin11111101101110111…
…010001101100011101
310020220101100200220212
4133231313101230131
51024221144233121
623351142422205
72313632435144
oct375567215435
9106811320825
1034055461661
1113496469441
126725131965
133299634b60
141910cb875b
15d44ba725b
hex7eddd1b1d

34055461661 has 16 divisors (see below), whose sum is σ = 39070530240. Its totient is φ = 29422465920.

The previous prime is 34055461651. The next prime is 34055461673. The reversal of 34055461661 is 16616455043.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34055461661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34055461651) 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 15 ways as a sum of consecutive naturals, for example, 810080 + ... + 851081.

It is an arithmetic number, because the mean of its divisors is an integer number (2441908140).

Almost surely, 234055461661 is an apocalyptic number.

It is an amenable number.

34055461661 is a deficient number, since it is larger than the sum of its proper divisors (5015068579).

34055461661 is a wasteful number, since it uses less digits than its factorization.

34055461661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661276.

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 34055461661 in words is "thirty-four billion, fifty-five million, four hundred sixty-one thousand, six hundred sixty-one".

Divisors: 1 13 19 83 247 1079 1577 20501 1661161 21595093 31562059 137876363 410306767 1792392719 2619650897 34055461661