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6844207104 = 2123472421
BaseRepresentation
bin1100101111111001…
…00101000000000000
3122122222120202010000
412113330211000000
5103004104111404
63051051040000
7331414541400
oct62774450000
918588522100
106844207104
1129a2416109
1213b0140000
13850c593b7
1448cda4800
152a0ce3339
hex197f25000

6844207104 has 390 divisors, whose sum is σ = 23840183994. Its totient is φ = 1950842880.

The previous prime is 6844207061. The next prime is 6844207159. The reversal of 6844207104 is 4017024486.

It can be written as a sum of positive squares in only one way, i.e., 3657830400 + 3186376704 = 60480^2 + 56448^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 16256814 + ... + 16257234.

Almost surely, 26844207104 is an apocalyptic number.

6844207104 is a gapful number since it is divisible by the number (64) 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 6844207104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11920091997).

6844207104 is an abundant number, since it is smaller than the sum of its proper divisors (16995976890).

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

6844207104 is an equidigital number, since it uses as much as digits as its factorization.

6844207104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 6844207104 is about 82729.7232196506. The cubic root of 6844207104 is about 1898.6330984821.

The spelling of 6844207104 in words is "six billion, eight hundred forty-four million, two hundred seven thousand, one hundred four".