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164023712 = 2514813461
BaseRepresentation
bin10011100011011…
…00110110100000
3102102122021020022
421301230312200
5313442224322
624135333012
74031115146
oct1161546640
9372567208
10164023712
1184650496
1246b21168
1327c9c068
1417ad9596
15e5ee942
hex9c6cda0

164023712 has 24 divisors (see below), whose sum is σ = 323233092. Its totient is φ = 81932800.

The previous prime is 164023679. The next prime is 164023721. The reversal of 164023712 is 217320461.

It can be written as a sum of positive squares in 2 ways, for example, as 157653136 + 6370576 = 12556^2 + 2524^2 .

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 3 ways as a sum of consecutive naturals, for example, 45662 + ... + 49122.

Almost surely, 2164023712 is an apocalyptic number.

It is an amenable number.

164023712 is a deficient number, since it is larger than the sum of its proper divisors (159209380).

164023712 is a wasteful number, since it uses less digits than its factorization.

164023712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4952 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 164023712 is about 12807.1742394644. The cubic root of 164023712 is about 547.3967467901.

It can be divided in two parts, 1640 and 23712, that added together give a palindrome (25352).

The spelling of 164023712 in words is "one hundred sixty-four million, twenty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 1481 2962 3461 5924 6922 11848 13844 23696 27688 47392 55376 110752 5125741 10251482 20502964 41005928 82011856 164023712