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164686461 = 3284319309
BaseRepresentation
bin10011101000011…
…10101001111101
3102110212221100120
421310032221331
5314124431321
624201445153
74036545312
oct1164165175
9373787316
10164686461
1184a63415
12471a07b9
1328171914
1417c2cd09
15e6d0ec6
hex9d0ea7d

164686461 has 8 divisors (see below), whose sum is σ = 219670560. Its totient is φ = 109746672.

The previous prime is 164686453. The next prime is 164686499.

164686461 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 164686461 - 23 = 164686453 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164686451) 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, 1126 + ... + 18183.

It is an arithmetic number, because the mean of its divisors is an integer number (27458820).

Almost surely, 2164686461 is an apocalyptic number.

It is an amenable number.

164686461 is a deficient number, since it is larger than the sum of its proper divisors (54984099).

164686461 is a wasteful number, since it uses less digits than its factorization.

164686461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22155.

The product of its digits is 165888, while the sum is 42.

The square root of 164686461 is about 12833.0222862738. The cubic root of 164686461 is about 548.1330206589.

The spelling of 164686461 in words is "one hundred sixty-four million, six hundred eighty-six thousand, four hundred sixty-one".

Divisors: 1 3 2843 8529 19309 57927 54895487 164686461