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164105688 = 23326325999
BaseRepresentation
bin10011100100000…
…00110111011000
3102102210102200110
421302000313120
5314002340223
624141204320
74031606145
oct1162006730
9372712613
10164105688
11846a703a
1246b606a0
1327cca476
1417b1b3cc
15e618d93
hex9c80dd8

164105688 has 32 divisors (see below), whose sum is σ = 411840000. Its totient is φ = 54491808.

The previous prime is 164105687. The next prime is 164105699. The reversal of 164105688 is 886501461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164105687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6688 + ... + 19311.

It is an arithmetic number, because the mean of its divisors is an integer number (12870000).

Almost surely, 2164105688 is an apocalyptic number.

It is an amenable number.

164105688 is an abundant number, since it is smaller than the sum of its proper divisors (247734312).

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

164105688 is a wasteful number, since it uses less digits than its factorization.

164105688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26271 (or 26267 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 164105688 is about 12810.3742334094. The cubic root of 164105688 is about 547.4879245059.

The spelling of 164105688 in words is "one hundred sixty-four million, one hundred five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 263 526 789 1052 1578 2104 3156 6312 25999 51998 77997 103996 155994 207992 311988 623976 6837737 13675474 20513211 27350948 41026422 54701896 82052844 164105688