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4167047656117 is a prime number
BaseRepresentation
bin111100101000110111011…
…001010011001010110101
3112202100212201022212121201
4330220313121103022311
51021233103144443432
612510152033012501
7610026216441523
oct74506731231265
915670781285551
104167047656117
111367264849115
125737279b4131
13242c491b5878
14105986c57313
15735db526ee7
hex3ca376532b5

4167047656117 has 2 divisors, whose sum is σ = 4167047656118. Its totient is φ = 4167047656116.

The previous prime is 4167047656087. The next prime is 4167047656147. The reversal of 4167047656117 is 7116567407614.

It is a balanced prime because it is at equal distance from previous prime (4167047656087) and next prime (4167047656147).

It can be written as a sum of positive squares in only one way, i.e., 4003256662596 + 163790993521 = 2000814^2 + 404711^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4167047656117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4167047656147) 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 as a sum of consecutive naturals, namely, 2083523828058 + 2083523828059.

It is an arithmetic number, because the mean of its divisors is an integer number (2083523828059).

Almost surely, 24167047656117 is an apocalyptic number.

It is an amenable number.

4167047656117 is a deficient number, since it is larger than the sum of its proper divisors (1).

4167047656117 is an equidigital number, since it uses as much as digits as its factorization.

4167047656117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5927040, while the sum is 55.

The spelling of 4167047656117 in words is "four trillion, one hundred sixty-seven billion, forty-seven million, six hundred fifty-six thousand, one hundred seventeen".