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9999593856 = 2731372
BaseRepresentation
bin10010101000000010…
…11011000110000000
3221210220000000000000
421110001123012000
5130434344000411
64332130000000
7502541100600
oct112401330600
927726000000
109999593856
11427156795a
121b30a16000
13c348a7655
146ac098c00
153d7d2c956
hex25405b180

9999593856 has 336 divisors, whose sum is σ = 34760219940. Its totient is φ = 2857026816.

The previous prime is 9999593839. The next prime is 9999593867. The reversal of 9999593856 is 6583959999.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (212576400) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1428513405 + ... + 1428513411.

Almost surely, 29999593856 is an apocalyptic number.

9999593856 is a gapful number since it is divisible by the number (96) 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 9999593856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17380109970).

9999593856 is an abundant number, since it is smaller than the sum of its proper divisors (24760626084).

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

9999593856 is an frugal number, since it uses more digits than its factorization.

9999593856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 12 counting only the distinct ones).

The product of its digits is 212576400, while the sum is 72.

The square root of 9999593856 is about 99997.9692593805. The cubic root of 9999593856 is about 2154.4055226129.

The spelling of 9999593856 in words is "nine billion, nine hundred ninety-nine million, five hundred ninety-three thousand, eight hundred fifty-six".