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164196018 = 2337617121
BaseRepresentation
bin10011100100101…
…10111010110010
3102102222000121000
421302112322302
5314013233033
624143142430
74032433410
oct1162267262
9372860530
10164196018
1184758998
1246ba4a16
132802c60c
1417b422b0
15e635a13
hex9c96eb2

164196018 has 64 divisors (see below), whose sum is σ = 423901440. Its totient is φ = 46137600.

The previous prime is 164195989. The next prime is 164196023. The reversal of 164196018 is 810691461.

It is a happy number.

164196018 is a `hidden beast` number, since 1 + 6 + 41 + 9 + 601 + 8 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19498 + ... + 26618.

It is an arithmetic number, because the mean of its divisors is an integer number (6623460).

Almost surely, 2164196018 is an apocalyptic number.

164196018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164196018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211950720).

164196018 is an abundant number, since it is smaller than the sum of its proper divisors (259705422).

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

164196018 is a wasteful number, since it uses less digits than its factorization.

164196018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7200 (or 7194 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 164196018 is about 12813.8994065039. The cubic root of 164196018 is about 547.5883587925.

The spelling of 164196018 in words is "one hundred sixty-four million, one hundred ninety-six thousand, eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 122 126 183 189 366 378 427 549 854 1098 1281 1647 2562 3294 3843 7121 7686 11529 14242 21363 23058 42726 49847 64089 99694 128178 149541 192267 299082 384534 434381 448623 868762 897246 1303143 1345869 2606286 2691738 3040667 3909429 6081334 7818858 9122001 11728287 18244002 23456574 27366003 54732006 82098009 164196018