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6005146013 is a prime number
BaseRepresentation
bin1011001011110111…
…10100000110011101
3120111111202000200022
411211323310012131
544244304133023
62431515041525
7301545620216
oct54573640635
916444660608
106005146013
112601826099
1211b71402a5
1374917b149
1440d78c40d
152523027c8
hex165ef419d

6005146013 has 2 divisors, whose sum is σ = 6005146014. Its totient is φ = 6005146012.

The previous prime is 6005146003. The next prime is 6005146019. The reversal of 6005146013 is 3106415006.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5977918489 + 27227524 = 77317^2 + 5218^2 .

It is a cyclic number.

It is not a de Polignac number, because 6005146013 - 210 = 6005144989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6005146019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3002573006 + 3002573007.

It is an arithmetic number, because the mean of its divisors is an integer number (3002573007).

Almost surely, 26005146013 is an apocalyptic number.

It is an amenable number.

6005146013 is a deficient number, since it is larger than the sum of its proper divisors (1).

6005146013 is an equidigital number, since it uses as much as digits as its factorization.

6005146013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 6005146013 is about 77492.8771759057. The cubic root of 6005146013 is about 1817.6399402840.

The spelling of 6005146013 in words is "six billion, five million, one hundred forty-six thousand, thirteen".