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164016378 = 23216754563
BaseRepresentation
bin10011100011010…
…11000011111010
3102102121220011200
421301223003322
5313442011003
624135235030
74031054601
oct1161530372
9372556150
10164016378
1184645a29
1246b18a76
1327c98916
1417ad6a38
15e5ec6a3
hex9c6b0fa

164016378 has 24 divisors (see below), whose sum is σ = 357503328. Its totient is φ = 54343752.

The previous prime is 164016317. The next prime is 164016421. The reversal of 164016378 is 873610461.

164016378 is a `hidden beast` number, since 1 + 640 + 1 + 6 + 3 + 7 + 8 = 666.

164016378 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1640163783 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24276 + ... + 30287.

It is an arithmetic number, because the mean of its divisors is an integer number (14895972).

Almost surely, 2164016378 is an apocalyptic number.

164016378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

164016378 is an abundant number, since it is smaller than the sum of its proper divisors (193486950).

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

164016378 is a wasteful number, since it uses less digits than its factorization.

164016378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54738 (or 54735 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 164016378 is about 12806.8879123697. The cubic root of 164016378 is about 547.3885880763.

The spelling of 164016378 in words is "one hundred sixty-four million, sixteen thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 167 334 501 1002 1503 3006 54563 109126 163689 327378 491067 982134 9112021 18224042 27336063 54672126 82008189 164016378