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164468261 = 416165761
BaseRepresentation
bin10011100110110…
…01011000100101
3102110110212001002
421303121120211
5314100441021
624153043045
74034646206
oct1163313045
9373425032
10164468261
1184924491
12470b6485
13280c64c9
1417bb35ad
15e68b50b
hex9cd9625

164468261 has 8 divisors (see below), whose sum is σ = 171244248. Its totient is φ = 157824000.

The previous prime is 164468221. The next prime is 164468263. The reversal of 164468261 is 162864461.

164468261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3330625 + 161137636 = 1825^2 + 12694^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 164468261 - 214 = 164451877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164468263) 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, 30380 + ... + 35381.

It is an arithmetic number, because the mean of its divisors is an integer number (21405531).

Almost surely, 2164468261 is an apocalyptic number.

It is an amenable number.

164468261 is a deficient number, since it is larger than the sum of its proper divisors (6775987).

164468261 is an equidigital number, since it uses as much as digits as its factorization.

164468261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65863.

The product of its digits is 55296, while the sum is 38.

The square root of 164468261 is about 12824.5179636507. The cubic root of 164468261 is about 547.8908321887.

The spelling of 164468261 in words is "one hundred sixty-four million, four hundred sixty-eight thousand, two hundred sixty-one".

Divisors: 1 41 61 2501 65761 2696201 4011421 164468261