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165500016 = 243113071021
BaseRepresentation
bin10011101110101…
…01010001110000
3102112102021100020
421313111101300
5314332000031
624231123440
74046504223
oct1167252160
9375367306
10165500016
1185469680
1247513580
1328398006
1417da15ba
15e7e2096
hex9dd5470

165500016 has 80 divisors (see below), whose sum is σ = 468386688. Its totient is φ = 49939200.

The previous prime is 165500011. The next prime is 165500017. The reversal of 165500016 is 610005561.

165500016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165500011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161586 + ... + 162606.

Almost surely, 2165500016 is an apocalyptic number.

165500016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165500016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234193344).

165500016 is an abundant number, since it is smaller than the sum of its proper divisors (302886672).

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

165500016 is a wasteful number, since it uses less digits than its factorization.

165500016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 165500016 is about 12864.6809521263. The cubic root of 165500016 is about 549.0341351233.

Adding to 165500016 its reverse (610005561), we get a palindrome (775505577).

The spelling of 165500016 in words is "one hundred sixty-five million, five hundred thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 307 528 614 921 1021 1228 1842 2042 2456 3063 3377 3684 4084 4912 6126 6754 7368 8168 10131 11231 12252 13508 14736 16336 20262 22462 24504 27016 33693 40524 44924 49008 54032 67386 81048 89848 134772 162096 179696 269544 313447 539088 626894 940341 1253788 1880682 2507576 3447917 3761364 5015152 6895834 7522728 10343751 13791668 15045456 20687502 27583336 41375004 55166672 82750008 165500016