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12803831099760 = 24351721693109037
BaseRepresentation
bin1011101001010001111111…
…0011011111000101110000
31200100000221000002212122210
42322110133303133011300
53134234221230143020
643121555424132120
72461021604432421
oct272243763370560
950300830085583
1012803831099760
11409708a951548
121529575167040
1371b51c2a209c
143239cca8d648
151730cc7233e0
hexba51fcdf170

12803831099760 has 240 divisors, whose sum is σ = 42189326647776. Its totient is φ = 3211582980096.

The previous prime is 12803831099749. The next prime is 12803831099767. The reversal of 12803831099760 is 6799013830821.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12803831099760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12803831099767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117371962 + ... + 117480998.

Almost surely, 212803831099760 is an apocalyptic number.

12803831099760 is a gapful number since it is divisible by the number (10) 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 12803831099760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21094663323888).

12803831099760 is an abundant number, since it is smaller than the sum of its proper divisors (29385495548016).

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

12803831099760 is a wasteful number, since it uses less digits than its factorization.

12803831099760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110780 (or 110757 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 12803831099760 in words is "twelve trillion, eight hundred three billion, eight hundred thirty-one million, ninety-nine thousand, seven hundred sixty".