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834814711845 = 32564128941401
BaseRepresentation
bin11000010010111101101…
…01011001100000100101
32221210210200011100100200
430021132311121200211
5102134200031234340
61435301504301113
7114212325653442
oct14113665314045
92853720140320
10834814711845
112a2052161024
12115961911799
136095199749a
142c595ddc9c9
1516aae972330
hexc25ed59825

834814711845 has 24 divisors (see below), whose sum is σ = 1449269646552. Its totient is φ = 444539904000.

The previous prime is 834814711817. The next prime is 834814711859. The reversal of 834814711845 is 548117418438.

It is a happy number.

834814711845 is a `hidden beast` number, since 8 + 3 + 481 + 4 + 7 + 118 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 352476127809 + 482338584036 = 593697^2 + 694506^2 .

It is not a de Polignac number, because 834814711845 - 217 = 834814580773 is a prime.

It is a super-2 number, since 2×8348147118452 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 834814711791 and 834814711800.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14441856 + ... + 14499545.

It is an arithmetic number, because the mean of its divisors is an integer number (60386235273).

Almost surely, 2834814711845 is an apocalyptic number.

It is an amenable number.

834814711845 is a deficient number, since it is larger than the sum of its proper divisors (614454934707).

834814711845 is a wasteful number, since it uses less digits than its factorization.

834814711845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28942053 (or 28942050 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 834814711845 in words is "eight hundred thirty-four billion, eight hundred fourteen million, seven hundred eleven thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 45 641 1923 3205 5769 9615 28845 28941401 86824203 144707005 260472609 434121015 1302363045 18551438041 55654314123 92757190205 166962942369 278271570615 834814711845