Search a number
-
+
6118228116 = 223271113412101
BaseRepresentation
bin1011011001010110…
…01100000010010100
3120210101112012011100
411230223030002110
5100012231244431
62451034510100
7304421036520
oct55453140224
916711465140
106118228116
11265a642380
121228b95330
13766722330
144207c6d80
1525c1dd4e6
hex16cacc094

6118228116 has 432 divisors, whose sum is σ = 21494438784. Its totient is φ = 1416960000.

The previous prime is 6118228111. The next prime is 6118228121.

6118228116 is a `hidden beast` number, since 611 + 8 + 2 + 28 + 1 + 16 = 666.

6118228116 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6118228111) and next prime (6118228121).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6118228111) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60576466 + ... + 60576566.

Almost surely, 26118228116 is an apocalyptic number.

6118228116 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6118228116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10747219392).

6118228116 is an abundant number, since it is smaller than the sum of its proper divisors (15376210668).

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

6118228116 is a wasteful number, since it uses less digits than its factorization.

6118228116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 178 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 6118228116 is about 78219.1032676801. The cubic root of 6118228116 is about 1828.9783099253.

It can be divided in two parts, 61182 and 28116, that added together give a palindrome (89298).

The spelling of 6118228116 in words is "six billion, one hundred eighteen million, two hundred twenty-eight thousand, one hundred sixteen".