Search a number
-
+
6783460992 = 273471129293
BaseRepresentation
bin1100101000101001…
…10110011010000000
3122111202021112010000
412110110312122000
5102343031222432
63041041040000
7330046316130
oct62424663200
918452245100
106783460992
1129710a5710
121393926000
138414aa959
14484cb0ac0
1529a7e457c
hex194536680

6783460992 has 640 divisors, whose sum is σ = 26125545600. Its totient is φ = 1695375360.

The previous prime is 6783460969. The next prime is 6783461017. The reversal of 6783460992 is 2990643876.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 23151598 + ... + 23151890.

It is an arithmetic number, because the mean of its divisors is an integer number (40821165).

Almost surely, 26783460992 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 6783460992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13062772800).

6783460992 is an abundant number, since it is smaller than the sum of its proper divisors (19342084608).

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

6783460992 is a wasteful number, since it uses less digits than its factorization.

6783460992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 6783460992 is about 82361.7689950865. The cubic root of 6783460992 is about 1892.9992590934. Note that the first 3 decimals are identical.

The spelling of 6783460992 in words is "six billion, seven hundred eighty-three million, four hundred sixty thousand, nine hundred ninety-two".