Search a number
-
+
6268330486440 = 233251131121741957
BaseRepresentation
bin101101100110111010110…
…0111001010101010101000
3211012020122201200121012200
41123031311213022222220
51310200020101031230
621155344204340200
71214605034005311
oct133156547125250
924166581617180
106268330486440
111aa7425165450
12852a17244660
13366140c62569
14179562c99608
15ad0c118c160
hex5b3759caaa8

6268330486440 has 384 divisors, whose sum is σ = 22960384312320. Its totient is φ = 1469332684800.

The previous prime is 6268330486423. The next prime is 6268330486463. The reversal of 6268330486440 is 446840338626.

6268330486440 is a `hidden beast` number, since 6 + 268 + 330 + 4 + 8 + 6 + 4 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149377942 + ... + 149419898.

It is an arithmetic number, because the mean of its divisors is an integer number (59792667480).

Almost surely, 26268330486440 is an apocalyptic number.

6268330486440 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 6268330486440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11480192156160).

6268330486440 is an abundant number, since it is smaller than the sum of its proper divisors (16692053825880).

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

6268330486440 is a wasteful number, since it uses less digits than its factorization.

6268330486440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43233 (or 43226 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 6268330486440 in words is "six trillion, two hundred sixty-eight billion, three hundred thirty million, four hundred eighty-six thousand, four hundred forty".