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244901960688 = 2437113110121163
BaseRepresentation
bin1110010000010101001…
…0110101101111110000
3212102010122020121220110
43210011102311233300
513003024400220223
6304301214541320
723456620214250
oct3440522655760
9772118217813
10244901960688
1194953854920
123b569207840
131a12bb25098
14bbd370d960
156585498d93
hex39054b5bf0

244901960688 has 320 divisors, whose sum is σ = 822319939584. Its totient is φ = 60946560000.

The previous prime is 244901960687. The next prime is 244901960741. The reversal of 244901960688 is 886069109442.

244901960688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244901960687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11561595 + ... + 11582757.

Almost surely, 2244901960688 is an apocalyptic number.

244901960688 is a gapful number since it is divisible by the number (28) 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 244901960688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411159969792).

244901960688 is an abundant number, since it is smaller than the sum of its proper divisors (577417978896).

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

244901960688 is a wasteful number, since it uses less digits than its factorization.

244901960688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21324 (or 21318 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 244901960688 in words is "two hundred forty-four billion, nine hundred one million, nine hundred sixty thousand, six hundred eighty-eight".