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165169142045729 is a prime number
BaseRepresentation
bin100101100011100001110000…
…000010100001110000100001
3210122211000102111102100210022
4211203201300002201300201
5133122112400330430404
61343141353434443225
746535035212540653
oct4543416002416041
9718730374370708
10165169142045729
114869a926809198
1216636a77593515
1371214ca04ab03
142cb032ca346d3
151416665e1a8be
hex9638700a1c21

165169142045729 has 2 divisors, whose sum is σ = 165169142045730. Its totient is φ = 165169142045728.

The previous prime is 165169142045711. The next prime is 165169142045759. The reversal of 165169142045729 is 927540241961561.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 146105238760000 + 19063903285729 = 12087400^2 + 4366223^2 .

It is a cyclic number.

It is not a de Polignac number, because 165169142045729 - 212 = 165169142041633 is a prime.

It is a super-2 number, since 2×1651691420457292 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (165169142045759) 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 as a sum of consecutive naturals, namely, 82584571022864 + 82584571022865.

It is an arithmetic number, because the mean of its divisors is an integer number (82584571022865).

Almost surely, 2165169142045729 is an apocalyptic number.

It is an amenable number.

165169142045729 is a deficient number, since it is larger than the sum of its proper divisors (1).

165169142045729 is an equidigital number, since it uses as much as digits as its factorization.

165169142045729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32659200, while the sum is 62.

The spelling of 165169142045729 in words is "one hundred sixty-five trillion, one hundred sixty-nine billion, one hundred forty-two million, forty-five thousand, seven hundred twenty-nine".