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83168391816 = 2333787948869
BaseRepresentation
bin100110101110100111…
…0001111001010001000
321221200011000001111000
41031131032033022020
52330312102014231
6102112415135000
76002663444346
oct1153516171210
9257604001430
1083168391816
11322a9430814
1214150b14460
137ac5687683
14404d896996
15226b7266e6
hex135d38f288

83168391816 has 64 divisors (see below), whose sum is σ = 231057360000. Its totient is φ = 27718711488.

The previous prime is 83168391731. The next prime is 83168391833. The reversal of 83168391816 is 61819386138.

83168391816 is a `hidden beast` number, since 83 + 168 + 391 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1677430 + ... + 1726298.

It is an arithmetic number, because the mean of its divisors is an integer number (3610271250).

Almost surely, 283168391816 is an apocalyptic number.

It is an amenable number.

83168391816 is an abundant number, since it is smaller than the sum of its proper divisors (147888968184).

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

83168391816 is a wasteful number, since it uses less digits than its factorization.

83168391816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56763 (or 56753 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 83168391816 in words is "eighty-three billion, one hundred sixty-eight million, three hundred ninety-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 7879 15758 23637 31516 47274 48869 63032 70911 94548 97738 141822 146607 189096 195476 212733 283644 293214 390952 425466 439821 567288 586428 850932 879642 1172856 1319463 1701864 1759284 2638926 3518568 5277852 10555704 385038851 770077702 1155116553 1540155404 2310233106 3080310808 3465349659 4620466212 6930699318 9240932424 10396048977 13861398636 20792097954 27722797272 41584195908 83168391816