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4382050104960 = 2735111311583843
BaseRepresentation
bin111111110001000110100…
…010100011011010000000
3120111220211121100220222120
4333301012202203122000
51033243414311324320
613153030325404240
7631410200214453
oct77610642433200
916456747326876
104382050104960
11143a465054170
125a932b869680
1325a2c16ca5b8
141121415d949a
1578ec1ae6440
hex3fc468a3680

4382050104960 has 256 divisors, whose sum is σ = 15353910443520. Its totient is φ = 1054205235200.

The previous prime is 4382050104953. The next prime is 4382050105049. The reversal of 4382050104960 is 694010502834.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1974799 + ... + 3558641.

It is an arithmetic number, because the mean of its divisors is an integer number (59976212670).

Almost surely, 24382050104960 is an apocalyptic number.

4382050104960 is a gapful number since it is divisible by the number (40) 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 4382050104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7676955221760).

4382050104960 is an abundant number, since it is smaller than the sum of its proper divisors (10971860338560).

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

4382050104960 is a wasteful number, since it uses less digits than its factorization.

4382050104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584007 (or 1583995 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 4382050104960 in words is "four trillion, three hundred eighty-two billion, fifty million, one hundred four thousand, nine hundred sixty".