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834566294116 = 221729722772
BaseRepresentation
bin11000010010100000000…
…01110000101001100100
32221210011100201102022001
430021100001300221210
5102133142432402431
61435221112015044
7114203221311502
oct14112001605144
92853140642261
10834566294116
112a1a34a09115
121158b2691484
136091238a049
142c571015672
1516a97c51e61
hexc250070a64

834566294116 has 81 divisors (see below), whose sum is σ = 1573294824801. Its totient is φ = 387285037056.

The previous prime is 834566294113. The next prime is 834566294171. The reversal of 834566294116 is 611492665438.

The square root of 834566294116 is 913546.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 510696036900 + 323870257216 = 714630^2 + 569096^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (834566294113) 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 26 ways as a sum of consecutive naturals, for example, 3012874570 + ... + 3012874846.

Almost surely, 2834566294116 is an apocalyptic number.

834566294116 is the 913546-th square number.

It is an amenable number.

834566294116 is a deficient number, since it is larger than the sum of its proper divisors (738728530685).

834566294116 is an equidigital number, since it uses as much as digits as its factorization.

834566294116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 393 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 55.

The spelling of 834566294116 in words is "eight hundred thirty-four billion, five hundred sixty-six million, two hundred ninety-four thousand, one hundred sixteen".

Divisors: 1 2 4 17 34 68 97 194 277 289 388 554 578 1108 1156 1649 3298 4709 6596 9409 9418 18818 18836 26869 28033 37636 53738 56066 76729 80053 107476 112132 153458 159953 160106 306916 319906 320212 456773 639812 913546 1304393 1827092 2606293 2608786 2719201 5212586 5217572 5438402 7442713 7765141 10425172 10876804 14885426 15530282 22174681 29770852 31060564 44306981 44349362 88613962 88698724 126526121 177227924 253052242 506104484 721943161 753218677 1443886322 1506437354 2150944057 2887772644 3012874708 4301888114 8603776228 12273033737 24546067474 49092134948 208641573529 417283147058 834566294116