Search a number
-
+
163865601 = 321722512
BaseRepresentation
bin10011100010001…
…10010000000001
3102102100020100100
421301012100001
5313422144401
624132113013
74026556164
oct1161062001
9372306310
10163865601
1184552719
1246a65769
1327c450c3
1417a97adb
15e5bcb86
hex9c46401

163865601 has 27 divisors (see below), whose sum is σ = 252442723. Its totient is φ = 102408000.

The previous prime is 163865599. The next prime is 163865609. The reversal of 163865601 is 106568361.

It is a happy number.

The square root of 163865601 is 12801.

It is a perfect power (a square), and thus also a powerful number.

163865601 is a `hidden beast` number, since 16 + 3 + 86 + 560 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 127577025 + 36288576 = 11295^2 + 6024^2 .

It is not a de Polignac number, because 163865601 - 21 = 163865599 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (163865609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 652726 + ... + 652976.

Almost surely, 2163865601 is an apocalyptic number.

163865601 is the 12801-st square number.

163865601 is the 6401-st centered octagonal number.

It is an amenable number.

163865601 is a deficient number, since it is larger than the sum of its proper divisors (88577122).

163865601 is an equidigital number, since it uses as much as digits as its factorization.

163865601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 163865601 is about 547.2208021646.

Multiplying 163865601 by its sum of digits (36), we get a square (5899161636 = 768062).

The spelling of 163865601 in words is "one hundred sixty-three million, eight hundred sixty-five thousand, six hundred one".

Divisors: 1 3 9 17 51 153 251 289 753 867 2259 2601 4267 12801 38403 63001 72539 189003 217617 567009 652851 1071017 3213051 9639153 18207289 54621867 163865601