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164026566 = 23311461599
BaseRepresentation
bin10011100011011…
…01100011000110
3102102122102011000
421301231203012
5313442322231
624135354130
74031126364
oct1161554306
9372572130
10164026566
1184652650
1246b22946
1327ca0452
1417ada634
15e6006e6
hex9c6d8c6

164026566 has 64 divisors (see below), whose sum is σ = 399168000. Its totient is φ = 49514400.

The previous prime is 164026561. The next prime is 164026589. The reversal of 164026566 is 665620461.

It is a happy number.

164026566 is a `hidden beast` number, since 1 + 640 + 2 + 6 + 5 + 6 + 6 = 666.

164026566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 164026566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164026561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273535 + ... + 274133.

It is an arithmetic number, because the mean of its divisors is an integer number (6237000).

Almost surely, 2164026566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164026566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584000).

164026566 is an abundant number, since it is smaller than the sum of its proper divisors (235141434).

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

164026566 is a wasteful number, since it uses less digits than its factorization.

164026566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 164026566 is about 12807.2856609041. The cubic root of 164026566 is about 547.3999216589.

The spelling of 164026566 in words is "one hundred sixty-four million, twenty-six thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 461 594 599 922 1198 1383 1797 2766 3594 4149 5071 5391 6589 8298 10142 10782 12447 13178 15213 16173 19767 24894 30426 32346 39534 45639 59301 91278 118602 136917 177903 273834 276139 355806 552278 828417 1656834 2485251 3037529 4970502 6075058 7455753 9112587 14911506 18225174 27337761 54675522 82013283 164026566