Search a number
-
+
164537073 = 32112916193
BaseRepresentation
bin10011100111010…
…10001011110001
3102110121100102200
421303222023301
5314110141243
624154333413
74035353631
oct1163521361
9373540380
10164537073
1184971158
124712a269
132811b91c
1417bd06c1
15e6a1ad3
hex9cea2f1

164537073 has 12 divisors (see below), whose sum is σ = 237889860. Its totient is φ = 109587456.

The previous prime is 164537071. The next prime is 164537089. The reversal of 164537073 is 370735461.

164537073 is a `hidden beast` number, since 1 + 645 + 3 + 7 + 0 + 7 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96177249 + 68359824 = 9807^2 + 8268^2 .

It is not a de Polignac number, because 164537073 - 21 = 164537071 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164537071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2065 + ... + 18257.

It is an arithmetic number, because the mean of its divisors is an integer number (19824155).

Almost surely, 2164537073 is an apocalyptic number.

It is an amenable number.

164537073 is a deficient number, since it is larger than the sum of its proper divisors (73352787).

164537073 is a wasteful number, since it uses less digits than its factorization.

164537073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17328 (or 17325 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 164537073 is about 12827.2005129724. The cubic root of 164537073 is about 547.9672323544.

The spelling of 164537073 in words is "one hundred sixty-four million, five hundred thirty-seven thousand, seventy-three".

Divisors: 1 3 9 1129 3387 10161 16193 48579 145737 18281897 54845691 164537073