Search a number
-
+
164254314401 = 31149199717807
BaseRepresentation
bin1001100011111001010…
…0011110111110100001
3120200222011110201012222
42120332110132332201
510142343101030101
6203242444000425
714603242431122
oct2307624367641
9520864421188
10164254314401
1163729307581
1227a00530115
1312648781718
147d42948049
1544151ea01b
hex263e51efa1

164254314401 has 16 divisors (see below), whose sum is σ = 170785843200. Its totient is φ = 157801045440.

The previous prime is 164254314391. The next prime is 164254314407. The reversal of 164254314401 is 104413452461.

It is a cyclic number.

It is not a de Polignac number, because 164254314401 - 214 = 164254298017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164254314407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9215240 + ... + 9233046.

It is an arithmetic number, because the mean of its divisors is an integer number (10674115200).

Almost surely, 2164254314401 is an apocalyptic number.

It is an amenable number.

164254314401 is a deficient number, since it is larger than the sum of its proper divisors (6531528799).

164254314401 is a wasteful number, since it uses less digits than its factorization.

164254314401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19984.

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 164254314401 its reverse (104413452461), we get a palindrome (268667766862).

The spelling of 164254314401 in words is "one hundred sixty-four billion, two hundred fifty-four million, three hundred fourteen thousand, four hundred one".

Divisors: 1 31 149 1997 4619 17807 61907 297553 552017 2653243 9224143 35560579 82250533 1102377949 5298526271 164254314401