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10385573808000 = 273533731118803
BaseRepresentation
bin1001011100100001010001…
…1100000000011110000000
31100202211222111101010201210
42113020110130000132000
52330124123343324000
634031022225530120
72121222125546436
oct227102434003600
940684874333653
1010385573808000
113344551732896
1211b89637a3940
135a4480aa5781
1427c943396d56
151302450be350
hex97214700780

10385573808000 has 512 divisors, whose sum is σ = 35474248442880. Its totient is φ = 2685828096000.

The previous prime is 10385573807981. The next prime is 10385573808013. The reversal of 10385573808000 is 80837558301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 552326599 + ... + 552345401.

It is an arithmetic number, because the mean of its divisors is an integer number (69285641490).

Almost surely, 210385573808000 is an apocalyptic number.

10385573808000 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 10385573808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17737124221440).

10385573808000 is an abundant number, since it is smaller than the sum of its proper divisors (25088674634880).

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

10385573808000 is a wasteful number, since it uses less digits than its factorization.

10385573808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19183 (or 19161 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 10385573808000 in words is "ten trillion, three hundred eighty-five billion, five hundred seventy-three million, eight hundred eight thousand".