Search a number
-
+
6809010702120 = 2334511331353
BaseRepresentation
bin110001100010101100010…
…1010100000011100101000
3220002221020122220101110000
41203011120222200130220
51343024323214431440
622252003310023000
71301635430006604
oct143053052403450
926087218811400
106809010702120
11219575a038000
1291b76baa7a60
133a5119065a73
141977b4b54504
15bc1b836c730
hex63158aa0728

6809010702120 has 1280 divisors, whose sum is σ = 26502556354560. Its totient is φ = 1567281830400.

The previous prime is 6809010702107. The next prime is 6809010702139. The reversal of 6809010702120 is 212070109086.

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

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 128471900014 + ... + 128471900066.

It is an arithmetic number, because the mean of its divisors is an integer number (20705122152).

Almost surely, 26809010702120 is an apocalyptic number.

6809010702120 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 6809010702120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13251278177280).

6809010702120 is an abundant number, since it is smaller than the sum of its proper divisors (19693545652440).

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

6809010702120 is an equidigital number, since it uses as much as digits as its factorization.

6809010702120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 6809010702120 in words is "six trillion, eight hundred nine billion, ten million, seven hundred two thousand, one hundred twenty".