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820934019108 = 223272719647263
BaseRepresentation
bin10111111001000110111…
…10110000100000100100
32220110222022012002120200
423330203132300200210
5101422233102102413
61425044253030500
7113211340012500
oct13744336604044
92813868162520
10820934019108
11297179941135
12113129185430
135c54bccc128
142ba3a701300
151654b059573
hexbf237b0824

820934019108 has 108 divisors (see below), whose sum is σ = 2417298024960. Its totient is φ = 234225994464.

The previous prime is 820934019107. The next prime is 820934019137. The reversal of 820934019108 is 801910439028.

It is not an unprimeable number, because it can be changed into a prime (820934019107) 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 35 ways as a sum of consecutive naturals, for example, 944685 + ... + 1591947.

It is an arithmetic number, because the mean of its divisors is an integer number (22382389120).

Almost surely, 2820934019108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820934019108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208649012480).

820934019108 is an abundant number, since it is smaller than the sum of its proper divisors (1596364005852).

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

820934019108 is a wasteful number, since it uses less digits than its factorization.

820934019108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648006 (or 647994 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 820934019108 in words is "eight hundred twenty billion, nine hundred thirty-four million, nineteen thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 719 882 1438 1764 2157 2876 4314 5033 6471 8628 10066 12942 15099 20132 25884 30198 35231 45297 60396 70462 90594 105693 140924 181188 211386 317079 422772 634158 647263 1268316 1294526 1941789 2589052 3883578 4530841 5825367 7767156 9061682 11650734 13592523 18123364 23301468 27185046 31715887 40777569 54370092 63431774 81555138 95147661 126863548 163110276 190295322 285442983 380590644 465382097 570885966 930764194 1141771932 1396146291 1861528388 2792292582 3257674679 4188438873 5584585164 6515349358 8376877746 9773024037 13030698716 16753755492 19546048074 22803722753 29319072111 39092096148 45607445506 58638144222 68411168259 91214891012 117276288444 136822336518 205233504777 273644673036 410467009554 820934019108