Search a number
-
+
2131377738 = 23750747089
BaseRepresentation
bin111111100001010…
…0011111001001010
312111112120012121020
41333002203321022
513331113041423
6551254453310
7103550261160
oct17702437112
95445505536
102131377738
119a411a706
124b5964236
1327c755c79
141630d7230
15c71b44e3
hex7f0a3e4a

2131377738 has 16 divisors (see below), whose sum is σ = 4871720640. Its totient is φ = 608965056.

The previous prime is 2131377733. The next prime is 2131377749. The reversal of 2131377738 is 8377731312.

It is a super-3 number, since 3×21313777383 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 50747089 = 2131377738 / (2 + 1 + 3 + 1 + 3 + 7 + 7 + 7 + 3 + 8).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2131377738.

It is not an unprimeable number, because it can be changed into a prime (2131377733) 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 7 ways as a sum of consecutive naturals, for example, 25373503 + ... + 25373586.

It is an arithmetic number, because the mean of its divisors is an integer number (304482540).

Almost surely, 22131377738 is an apocalyptic number.

2131377738 is an abundant number, since it is smaller than the sum of its proper divisors (2740342902).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2131377738 is a wasteful number, since it uses less digits than its factorization.

2131377738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50747101.

The product of its digits is 148176, while the sum is 42.

The square root of 2131377738 is about 46166.8467409244. The cubic root of 2131377738 is about 1286.9257036904.

The spelling of 2131377738 in words is "two billion, one hundred thirty-one million, three hundred seventy-seven thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 50747089 101494178 152241267 304482534 355229623 710459246 1065688869 2131377738