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164012968 = 23715311913
BaseRepresentation
bin10011100011010…
…10001110101000
3102102121201111101
421301222032220
5313441403333
624135211144
74031041630
oct1161521650
9372551441
10164012968
1184643409
1246b16ab4
1327c971c2
1417ad56c0
15e5eb67d
hex9c6a3a8

164012968 has 32 divisors (see below), whose sum is σ = 351869760. Its totient is φ = 70208640.

The previous prime is 164012929. The next prime is 164012983. The reversal of 164012968 is 869210461.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 84780 + ... + 86692.

It is an arithmetic number, because the mean of its divisors is an integer number (10995930).

Almost surely, 2164012968 is an apocalyptic number.

It is an amenable number.

164012968 is an abundant number, since it is smaller than the sum of its proper divisors (187856792).

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

164012968 is a wasteful number, since it uses less digits than its factorization.

164012968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 164012968 is about 12806.7547801931. The cubic root of 164012968 is about 547.3847945364.

The spelling of 164012968 in words is "one hundred sixty-four million, twelve thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 1531 1913 3062 3826 6124 7652 10717 12248 13391 15304 21434 26782 42868 53564 85736 107128 2928803 5857606 11715212 20501621 23430424 41003242 82006484 164012968