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2145778184 = 231124494937
BaseRepresentation
bin111111111100101…
…1111101000001000
312112112122211022002
41333321133220020
513343304400214
6552531250132
7104113546034
oct17771375010
95475584262
102145778184
11a01265a00
124ba749948
13282728744
14164da51c4
15c85ab1de
hex7fe5fa08

2145778184 has 48 divisors (see below), whose sum is σ = 4433089500. Its totient is φ = 972984320.

The previous prime is 2145778183. The next prime is 2145778207. The reversal of 2145778184 is 4818775412.

It can be written as a sum of positive squares in 2 ways, for example, as 2144616100 + 1162084 = 46310^2 + 1078^2 .

It is not an unprimeable number, because it can be changed into a prime (2145778183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432164 + ... + 437100.

Almost surely, 22145778184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145778184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216544750).

2145778184 is an abundant number, since it is smaller than the sum of its proper divisors (2287311316).

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

2145778184 is a wasteful number, since it uses less digits than its factorization.

2145778184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414 (or 5399 counting only the distinct ones).

The product of its digits is 501760, while the sum is 47.

The square root of 2145778184 is about 46322.5450941547. The cubic root of 2145778184 is about 1289.8175300269.

The spelling of 2145778184 in words is "two billion, one hundred forty-five million, seven hundred seventy-eight thousand, one hundred eighty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 449 484 898 968 1796 3592 4937 4939 9874 9878 19748 19756 39496 39512 54307 54329 108614 108658 217228 217316 434456 434632 597377 1194754 2216713 2389508 4433426 4779016 8866852 17733704 24383843 48767686 97535372 195070744 268222273 536444546 1072889092 2145778184