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83075163160 = 23511376318087
BaseRepresentation
bin100110101011110101…
…0100110010000011000
321221102122120112210211
41031113222212100120
52330114220210120
6102055245020504
76000452143603
oct1152752462030
9257378515724
1083075163160
1132260844740
1214125854734
137aac274ca2
14404134933a
15226345d25a
hex1357aa6418

83075163160 has 128 divisors (see below), whose sum is σ = 209780720640. Its totient is φ = 29342476800.

The previous prime is 83075163137. The next prime is 83075163169. The reversal of 83075163160 is 6136157038.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83075163169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10268637 + ... + 10276723.

It is an arithmetic number, because the mean of its divisors is an integer number (1638911880).

Almost surely, 283075163160 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 83075163160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104890360320).

83075163160 is an abundant number, since it is smaller than the sum of its proper divisors (126705557480).

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

83075163160 is a wasteful number, since it uses less digits than its factorization.

83075163160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8777 (or 8773 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 83075163160 in words is "eighty-three billion, seventy-five million, one hundred sixty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 631 740 814 1262 1480 1628 2035 2524 3155 3256 4070 5048 6310 6941 8087 8140 12620 13882 16174 16280 23347 25240 27764 32348 34705 40435 46694 55528 64696 69410 80870 88957 93388 116735 138820 161740 177914 186776 233470 256817 277640 299219 323480 355828 444785 466940 513634 598438 711656 889570 933880 1027268 1196876 1284085 1496095 1779140 2054536 2393752 2568170 2992190 3291409 3558280 5102897 5136340 5984380 6582818 10205794 10272680 11968760 13165636 16457045 20411588 25514485 26331272 32914090 40823176 51028970 56131867 65828180 102057940 112263734 131656360 188807189 204115880 224527468 280659335 377614378 449054936 561318670 755228756 944035945 1122637340 1510457512 1888071890 2076879079 2245274680 3776143780 4153758158 7552287560 8307516316 10384395395 16615032632 20768790790 41537581580 83075163160