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5164416171 = 337312172153
BaseRepresentation
bin1001100111101001…
…01011110010101011
3111022220202112011000
410303310223302223
541034042304141
62212243210043
7241656545625
oct46364536253
914286675130
105164416171
1122101a6342
121001676923
13643c37475
1436dc5dc15
152035d25b6
hex133d2bcab

5164416171 has 32 divisors (see below), whose sum is σ = 7765773120. Its totient is φ = 3391414272.

The previous prime is 5164416167. The next prime is 5164416197. The reversal of 5164416171 is 1716144615.

5164416171 is a `hidden beast` number, since 5 + 1 + 644 + 1 + 6 + 1 + 7 + 1 = 666.

5164416171 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5164416171 - 22 = 5164416167 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5164416151) 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 in 31 ways as a sum of consecutive naturals, for example, 2397631 + ... + 2399783.

It is an arithmetic number, because the mean of its divisors is an integer number (242680410).

Almost surely, 25164416171 is an apocalyptic number.

5164416171 is a deficient number, since it is larger than the sum of its proper divisors (2601356949).

5164416171 is a wasteful number, since it uses less digits than its factorization.

5164416171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3446 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 5164416171 is about 71863.8725021133. The cubic root of 5164416171 is about 1728.5173538927.

The spelling of 5164416171 in words is "five billion, one hundred sixty-four million, four hundred sixteen thousand, one hundred seventy-one".

Divisors: 1 3 9 27 73 219 657 1217 1971 2153 3651 6459 10953 19377 32859 58131 88841 157169 266523 471507 799569 1414521 2398707 2620201 4243563 7860603 23581809 70745427 191274673 573824019 1721472057 5164416171