Search a number
-
+
164411111 = 59273647
BaseRepresentation
bin10011100110010…
…11011011100111
3102110100221122102
421303023123213
5314042123421
624151522315
74034320454
oct1163133347
9373327572
10164411111
1184895557
124708939b
13280a64a7
1417b9a82b
15e67960b
hex9ccb6e7

164411111 has 12 divisors (see below), whose sum is σ = 169798032. Its totient is φ = 159164064.

The previous prime is 164411101. The next prime is 164411113. The reversal of 164411111 is 111114461.

It is not a de Polignac number, because 164411111 - 210 = 164410087 is a prime.

It is a super-3 number, since 3×1644111113 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

164411111 is a modest number, since divided by 11111 gives 1644 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164411113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253790 + ... + 254436.

It is an arithmetic number, because the mean of its divisors is an integer number (14149836).

Almost surely, 2164411111 is an apocalyptic number.

164411111 is a deficient number, since it is larger than the sum of its proper divisors (5386921).

164411111 is an frugal number, since it uses more digits than its factorization.

164411111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 779 counting only the distinct ones).

The product of its digits is 96, while the sum is 20.

The square root of 164411111 is about 12822.2896161333. The cubic root of 164411111 is about 547.8273638364.

Adding to 164411111 its reverse (111114461), we get a palindrome (275525572).

The spelling of 164411111 in words is "one hundred sixty-four million, four hundred eleven thousand, one hundred eleven".

Divisors: 1 59 73 647 3481 4307 38173 47231 254113 2252207 2786629 164411111