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164704626 = 23241673331
BaseRepresentation
bin10011101000100…
…11000101110010
3102110220212021100
421310103011302
5314131022001
624202105230
74036652262
oct1164230562
9373825240
10164704626
1184a76029
12471ab216
1328179c78
1417c357a2
15e6d6586
hex9d13172

164704626 has 48 divisors (see below), whose sum is σ = 371131488. Its totient is φ = 52747200.

The previous prime is 164704621. The next prime is 164704637. The reversal of 164704626 is 626407461.

164704626 is a `hidden beast` number, since 1 + 647 + 0 + 4 + 6 + 2 + 6 = 666.

164704626 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-2 number, since 2×1647046262 = 54255227651599752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164704621) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 47781 + ... + 51111.

It is an arithmetic number, because the mean of its divisors is an integer number (7731906).

Almost surely, 2164704626 is an apocalyptic number.

164704626 is an abundant number, since it is smaller than the sum of its proper divisors (206426862).

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

164704626 is a wasteful number, since it uses less digits than its factorization.

164704626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 164704626 is about 12833.7300111854. The cubic root of 164704626 is about 548.1531730346.

The spelling of 164704626 in words is "one hundred sixty-four million, seven hundred four thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 41 67 82 123 134 201 246 369 402 603 738 1206 2747 3331 5494 6662 8241 9993 16482 19986 24723 29979 49446 59958 136571 223177 273142 409713 446354 669531 819426 1229139 1339062 2008593 2458278 4017186 9150257 18300514 27450771 54901542 82352313 164704626