Search a number
-
+
6341678112 = 2537115316187
BaseRepresentation
bin1011110011111111…
…00101010000100000
3121100221222121221010
411321333211100200
5100441432144422
62525140100520
7313103242320
oct57177452040
917327877833
106341678112
1127647916a0
12128b994740
137a0aca173
14442351280
15271b2ab0c
hex179fe5420

6341678112 has 192 divisors, whose sum is σ = 21147485184. Its totient is φ = 1616010240.

The previous prime is 6341678111. The next prime is 6341678129. The reversal of 6341678112 is 2118761436.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6341678111) 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 31 ways as a sum of consecutive naturals, for example, 383683 + ... + 399869.

It is an arithmetic number, because the mean of its divisors is an integer number (110143152).

Almost surely, 26341678112 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 6341678112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10573742592).

6341678112 is an abundant number, since it is smaller than the sum of its proper divisors (14805807072).

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

6341678112 is a wasteful number, since it uses less digits than its factorization.

6341678112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16271 (or 16263 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 6341678112 is about 79634.6539642133. The cubic root of 6341678112 is about 1850.9786020004.

The spelling of 6341678112 in words is "six billion, three hundred forty-one million, six hundred seventy-eight thousand, one hundred twelve".