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2164012673 = 37972292633
BaseRepresentation
bin1000000011111100…
…0011011010000001
312120210222020022112
42000333003122001
513412441401143
6554422145105
7104424542564
oct20077033201
95523866275
102164012673
11a1058a829
12504882195
13286441394
141675904db
15c9eade18
hex80fc3681

2164012673 has 16 divisors (see below), whose sum is σ = 2256073680. Its totient is φ = 2073931776.

The previous prime is 2164012667. The next prime is 2164012709. The reversal of 2164012673 is 3762104612.

It can be written as a sum of positive squares in 8 ways, for example, as 162613504 + 2001399169 = 12752^2 + 44737^2 .

It is a cyclic number.

It is not a de Polignac number, because 2164012673 - 218 = 2163750529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2164012373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820565 + ... + 823197.

It is an arithmetic number, because the mean of its divisors is an integer number (141004605).

Almost surely, 22164012673 is an apocalyptic number.

It is an amenable number.

2164012673 is a deficient number, since it is larger than the sum of its proper divisors (92061007).

2164012673 is a wasteful number, since it uses less digits than its factorization.

2164012673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996.

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 2164012673 is about 46518.9496119592. The cubic root of 2164012673 is about 1293.4607856929.

The spelling of 2164012673 in words is "two billion, one hundred sixty-four million, twelve thousand, six hundred seventy-three".

Divisors: 1 37 97 229 2633 3589 8473 22213 97421 255401 602957 821881 9449837 22309409 58486829 2164012673