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166016268 = 223211835051
BaseRepresentation
bin10011110010100…
…11010100001100
3102120101111111200
421321103110030
5320000010033
624250145500
74054054305
oct1171232414
9376344450
10166016268
1185791530
1247722290
1328518ca2
14180977ac
15e895013
hex9e5350c

166016268 has 72 divisors (see below), whose sum is σ = 463409856. Its totient is φ = 49692000.

The previous prime is 166016261. The next prime is 166016273. The reversal of 166016268 is 862610661.

It is a super-2 number, since 2×1660162682 = 55122802481295648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (166016261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30343 + ... + 35393.

It is an arithmetic number, because the mean of its divisors is an integer number (6436248).

Almost surely, 2166016268 is an apocalyptic number.

166016268 is a gapful number since it is divisible by the number (18) 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 166016268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231704928).

166016268 is an abundant number, since it is smaller than the sum of its proper divisors (297393588).

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

166016268 is a wasteful number, since it uses less digits than its factorization.

166016268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5155 (or 5150 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 166016268 is about 12884.7300320961. The cubic root of 166016268 is about 549.6044185810.

The spelling of 166016268 in words is "one hundred sixty-six million, sixteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 83 99 132 166 198 249 332 396 498 747 913 996 1494 1826 2739 2988 3652 5051 5478 8217 10102 10956 15153 16434 20204 30306 32868 45459 55561 60612 90918 111122 166683 181836 222244 333366 419233 500049 666732 838466 1000098 1257699 1676932 2000196 2515398 3773097 4611563 5030796 7546194 9223126 13834689 15092388 18446252 27669378 41504067 55338756 83008134 166016268