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244336826664 = 233272922572243
BaseRepresentation
bin1110001110001110011…
…1000001100100101000
3212100200020211211202200
43203203213001210220
513000400211423124
6304125150100200
723436615521220
oct3434347014450
9770606754680
10244336826664
1194693850307
123b42baaa660
131a06ba16258
14bb7c641080
156550a66bc9
hex38e39c1928

244336826664 has 288 divisors, whose sum is σ = 786656819520. Its totient is φ = 67111059456.

The previous prime is 244336826623. The next prime is 244336826711. The reversal of 244336826664 is 466628633442.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 244336826664.

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 71 ways as a sum of consecutive naturals, for example, 108931927 + ... + 108934169.

It is an arithmetic number, because the mean of its divisors is an integer number (2731447290).

Almost surely, 2244336826664 is an apocalyptic number.

244336826664 is a gapful number since it is divisible by the number (24) 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 244336826664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393328409760).

244336826664 is an abundant number, since it is smaller than the sum of its proper divisors (542319992856).

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

244336826664 is a wasteful number, since it uses less digits than its factorization.

244336826664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2541 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 54.

The spelling of 244336826664 in words is "two hundred forty-four billion, three hundred thirty-six million, eight hundred twenty-six thousand, six hundred sixty-four".