Search a number
-
+
5184144001 = 8928092
BaseRepresentation
bin1001101001111111…
…11100001010000001
3111101021212210122101
410310333330022001
541104120102001
62214230110401
7242316332311
oct46477741201
914337783571
105184144001
112220350133
1210081ab401
13648053a3a
14372717441
152051cca01
hex134ffc281

5184144001 has 9 divisors (see below), whose sum is σ = 5249536201. Its totient is φ = 5119559104.

The previous prime is 5184143989. The next prime is 5184144013. The reversal of 5184144001 is 1004414815.

The square root of 5184144001 is 72001.

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

It is an interprime number because it is at equal distance from previous prime (5184143989) and next prime (5184144013).

It can be written as a sum of positive squares in 4 ways, for example, as 51854401 + 5132289600 = 7201^2 + 71640^2 .

It is not a de Polignac number, because 5184144001 - 25 = 5184143969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5184144401) 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 8 ways as a sum of consecutive naturals, for example, 6407685 + ... + 6408493.

Almost surely, 25184144001 is an apocalyptic number.

5184144001 is the 72001-st square number.

5184144001 is the 36001-st centered octagonal number.

It is an amenable number.

5184144001 is a deficient number, since it is larger than the sum of its proper divisors (65392200).

5184144001 is an frugal number, since it uses more digits than its factorization.

5184144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The cubic root of 5184144001 is about 1730.7155093270.

Adding to 5184144001 its reverse (1004414815), we get a palindrome (6188558816).

The spelling of 5184144001 in words is "five billion, one hundred eighty-four million, one hundred forty-four thousand, one".

Divisors: 1 89 809 7921 72001 654481 6408089 58248809 5184144001