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164691712 = 284871321
BaseRepresentation
bin10011101000011…
…11111100000000
3102110220012120001
421310033330000
5314130113322
624201525344
74036566523
oct1164177400
9373805501
10164691712
1184a67359
12471a3854
1328174123
1417c30bba
15e6d2827
hex9d0ff00

164691712 has 36 divisors (see below), whose sum is σ = 329664496. Its totient is φ = 82114560.

The previous prime is 164691701. The next prime is 164691727. The reversal of 164691712 is 217196461.

It is a congruent number.

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, 124012 + ... + 125332.

Almost surely, 2164691712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164691712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164832248).

164691712 is an abundant number, since it is smaller than the sum of its proper divisors (164972784).

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

164691712 is an equidigital number, since it uses as much as digits as its factorization.

164691712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1810 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 164691712 is about 12833.2268740173. The cubic root of 164691712 is about 548.1388463066.

It can be divided in two parts, 16469 and 1712, that added together give a palindrome (18181).

The spelling of 164691712 in words is "one hundred sixty-four million, six hundred ninety-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 487 974 1321 1948 2642 3896 5284 7792 10568 15584 21136 31168 42272 62336 84544 124672 169088 338176 643327 1286654 2573308 5146616 10293232 20586464 41172928 82345856 164691712