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830109496608 = 253274110042943
BaseRepresentation
bin11000001010001100110…
…00011011010100100000
32221100122202110122110200
430011012120123110200
5102100031012342413
61433202543225200
7113654613204660
oct14050630332440
92840582418420
10830109496608
112a0058196197
12114a69ba8200
1360381c2b962
142c26b1541a0
15168d6849573
hexc14661b520

830109496608 has 144 divisors (see below), whose sum is σ = 2763657501696. Its totient is φ = 231389383680.

The previous prime is 830109496597. The next prime is 830109496673. The reversal of 830109496608 is 806694901038.

830109496608 is a `hidden beast` number, since 83 + 0 + 10 + 9 + 496 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4938816 + ... + 5104127.

It is an arithmetic number, because the mean of its divisors is an integer number (19192065984).

Almost surely, 2830109496608 is an apocalyptic number.

It is an amenable number.

830109496608 is an abundant number, since it is smaller than the sum of its proper divisors (1933548005088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

830109496608 is a wasteful number, since it uses less digits than its factorization.

830109496608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10043007 (or 10042996 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 830109496608 in words is "eight hundred thirty billion, one hundred nine million, four hundred ninety-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 164 168 224 246 252 287 288 328 336 369 492 504 574 656 672 738 861 984 1008 1148 1312 1476 1722 1968 2016 2296 2583 2952 3444 3936 4592 5166 5904 6888 9184 10332 11808 13776 20664 27552 41328 82656 10042943 20085886 30128829 40171772 60257658 70300601 80343544 90386487 120515316 140601202 160687088 180772974 210901803 241030632 281202404 321374176 361545948 411760663 421803606 482061264 562404808 632705409 723091896 823521326 843607212 964122528 1124809616 1235281989 1265410818 1446183792 1647042652 1687214424 2249619232 2470563978 2530821636 2882324641 2892367584 3294085304 3374428848 3705845967 4941127956 5061643272 5764649282 6588170608 6748857696 7411691934 8646973923 9882255912 10123286544 11529298564 13176341216 14823383868 17293947846 19764511824 20246573088 23058597128 25940921769 29646767736 34587895692 39529023648 46117194256 51881843538 59293535472 69175791384 92234388512 103763687076 118587070944 138351582768 207527374152 276703165536 415054748304 830109496608