Search a number
-
+
6482112780 = 223511213173397
BaseRepresentation
bin1100000100101110…
…10011000100001100
3121201202020110002010
412002113103010030
5101233410102110
62551114101220
7316430022663
oct60227230414
917652213063
106482112780
112826a90300
12130aa1a810
137c3c2a2c0
14456c69dda
1527e11b020
hex1825d310c

6482112780 has 288 divisors, whose sum is σ = 21663133632. Its totient is φ = 1438525440.

The previous prime is 6482112779. The next prime is 6482112797. The reversal of 6482112780 is 872112846.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16327542 + ... + 16327938.

It is an arithmetic number, because the mean of its divisors is an integer number (75219214).

Almost surely, 26482112780 is an apocalyptic number.

6482112780 is a gapful number since it is divisible by the number (60) 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 6482112780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10831566816).

6482112780 is an abundant number, since it is smaller than the sum of its proper divisors (15181020852).

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

6482112780 is a wasteful number, since it uses less digits than its factorization.

6482112780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 6482112780 is about 80511.5692307634. The cubic root of 6482112780 is about 1864.5421018852.

The spelling of 6482112780 in words is "six billion, four hundred eighty-two million, one hundred twelve thousand, seven hundred eighty".