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164781378 = 2344124809
BaseRepresentation
bin10011101001001…
…01110101000010
3102111001202120000
421310211311002
5314141001003
624203500430
74040422116
oct1164456502
9374052500
10164781378
1185018763
1247227716
13281a5b98
1417c55746
15e6ee1a3
hex9d25d42

164781378 has 40 divisors (see below), whose sum is σ = 378253260. Its totient is φ = 53585280.

The previous prime is 164781377. The next prime is 164781403. The reversal of 164781378 is 873187461.

It can be written as a sum of positive squares in 2 ways, for example, as 164019249 + 762129 = 12807^2 + 873^2 .

It is not an unprimeable number, because it can be changed into a prime (164781371) 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 19 ways as a sum of consecutive naturals, for example, 5763 + ... + 19046.

Almost surely, 2164781378 is an apocalyptic number.

164781378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

164781378 is an abundant number, since it is smaller than the sum of its proper divisors (213471882).

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

164781378 is a wasteful number, since it uses less digits than its factorization.

164781378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24864 (or 24855 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 164781378 is about 12836.7199081385. The cubic root of 164781378 is about 548.2383058769.

The spelling of 164781378 in words is "one hundred sixty-four million, seven hundred eighty-one thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 2214 3321 6642 24809 49618 74427 148854 223281 446562 669843 1017169 1339686 2009529 2034338 3051507 4019058 6103014 9154521 18309042 27463563 54927126 82390689 164781378