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164430045 = 32513319067
BaseRepresentation
bin10011100110100…
…00000011011101
3102110101220121200
421303100003131
5314043230140
624152150113
74034426613
oct1163200335
9373356550
10164430045
11848a87aa
1247098339
13280b1cb0
1417ba36b3
15e680030
hex9cd00dd

164430045 has 48 divisors (see below), whose sum is σ = 316872192. Its totient is φ = 78330240.

The previous prime is 164430041. The next prime is 164430061. The reversal of 164430045 is 540034461.

164430045 is a nontrivial binomial coefficient, being equal to C(18135, 2).

It is not a de Polignac number, because 164430045 - 22 = 164430041 is a prime.

It is a super-3 number, since 3×1644300453 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164430041) 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 47 ways as a sum of consecutive naturals, for example, 13602 + ... + 22668.

It is an arithmetic number, because the mean of its divisors is an integer number (6601504).

Almost surely, 2164430045 is an apocalyptic number.

164430045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164430045 is the 18134-th triangular number.

It is an amenable number.

164430045 is a deficient number, since it is larger than the sum of its proper divisors (152442147).

164430045 is a wasteful number, since it uses less digits than its factorization.

164430045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9122 (or 9119 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 164430045 is about 12823.0279185534. The cubic root of 164430045 is about 547.8483927582.

The spelling of 164430045 in words is "one hundred sixty-four million, four hundred thirty thousand, forty-five".

Divisors: 1 3 5 9 13 15 31 39 45 65 93 117 155 195 279 403 465 585 1209 1395 2015 3627 6045 9067 18135 27201 45335 81603 117871 136005 281077 353613 408015 589355 843231 1060839 1405385 1768065 2529693 3654001 4216155 5304195 10962003 12648465 18270005 32886009 54810015 164430045