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166728912 = 24373116007
BaseRepresentation
bin10011111000000…
…01010011010000
3102121201201001220
421330001103100
5320140311122
624313325040
74063113060
oct1174012320
9377651056
10166728912
1186128999
1247a06780
132870847c
14182013a0
15e98625c
hex9f014d0

166728912 has 80 divisors (see below), whose sum is σ = 508157952. Its totient is φ = 46097280.

The previous prime is 166728871. The next prime is 166728929. The reversal of 166728912 is 219827661.

166728912 is digitally balanced in base 3, 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2413 + ... + 18419.

Almost surely, 2166728912 is an apocalyptic number.

166728912 is a gapful number since it is divisible by the number (12) 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 166728912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254078976).

166728912 is an abundant number, since it is smaller than the sum of its proper divisors (341429040).

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

166728912 is a wasteful number, since it uses less digits than its factorization.

166728912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16056 (or 16050 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 166728912 is about 12912.3550137068. The cubic root of 166728912 is about 550.3897094761.

The spelling of 166728912 in words is "one hundred sixty-six million, seven hundred twenty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 10416 16007 32014 48021 64028 96042 112049 128056 192084 224098 256112 336147 384168 448196 496217 672294 768336 896392 992434 1344588 1488651 1792784 1984868 2689176 2977302 3473519 3969736 5378352 5954604 6947038 7939472 10420557 11909208 13894076 20841114 23818416 27788152 41682228 55576304 83364456 166728912