Search a number
-
+
6234667296 = 25311213194153
BaseRepresentation
bin1011100111001110…
…10111100100100000
3121002111121220200120
411303213113210200
5100232033323141
62510354320240
7310333540404
oct56347274440
917074556616
106234667296
11270a341900
12125bb89080
137848a0560
14432057104
1526753dc66
hex1739d7920

6234667296 has 576 divisors, whose sum is σ = 21284000640. Its totient is φ = 1581465600.

The previous prime is 6234667253. The next prime is 6234667297. The reversal of 6234667296 is 6927664326.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6234667297) 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 95 ways as a sum of consecutive naturals, for example, 117635206 + ... + 117635258.

It is an arithmetic number, because the mean of its divisors is an integer number (36951390).

Almost surely, 26234667296 is an apocalyptic number.

6234667296 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 6234667296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10642000320).

6234667296 is an abundant number, since it is smaller than the sum of its proper divisors (15049333344).

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

6234667296 is a wasteful number, since it uses less digits than its factorization.

6234667296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 51.

The square root of 6234667296 is about 78959.9094224404. The cubic root of 6234667296 is about 1840.5082181525.

The spelling of 6234667296 in words is "six billion, two hundred thirty-four million, six hundred sixty-seven thousand, two hundred ninety-six".