Search a number
-
+
6117013224 = 2332797211593
BaseRepresentation
bin1011011001001101…
…00011011011101000
3120210022020110122100
411230212203123220
5100011423410344
62450552453400
7304404516540
oct55446433350
916708213570
106117013224
112659992633
1212286aa260
137663b836a
1442058c320
1525c04d569
hex16c9a36e8

6117013224 has 192 divisors, whose sum is σ = 19251872640. Its totient is φ = 1718599680.

The previous prime is 6117013223. The next prime is 6117013247. The reversal of 6117013224 is 4223107116.

It is not an unprimeable number, because it can be changed into a prime (6117013223) 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 47 ways as a sum of consecutive naturals, for example, 10315072 + ... + 10315664.

It is an arithmetic number, because the mean of its divisors is an integer number (100270170).

Almost surely, 26117013224 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 6117013224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9625936320).

6117013224 is an abundant number, since it is smaller than the sum of its proper divisors (13134859416).

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

6117013224 is a wasteful number, since it uses less digits than its factorization.

6117013224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6117013224 is about 78211.3369275836. The cubic root of 6117013224 is about 1828.8572422913.

The spelling of 6117013224 in words is "six billion, one hundred seventeen million, thirteen thousand, two hundred twenty-four".