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999083428282368 = 219351113293161
BaseRepresentation
bin1110001100101010010011110…
…0110110000000000000000000
311212000110102221220202201200000
43203022210330312000000000
52021422440330120013433
613500512331334400000
7420304252502155422
oct34312447466000000
94760412856681600
10999083428282368
1126a37a9a223a040
129407908a800000
1333b6221723c9b0
141389dc78658812
157a786bcee6113
hex38ca93cd80000

999083428282368 has 3840 divisors, whose sum is σ = 3816568723968000. Its totient is φ = 256842399744000.

The previous prime is 999083428282367. The next prime is 999083428282451. The reversal of 999083428282368 is 863282824380999.

999083428282368 is a `hidden beast` number, since 9 + 9 + 9 + 0 + 83 + 428 + 2 + 82 + 36 + 8 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999083428282367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16378416857058 + ... + 16378416857118.

It is an arithmetic number, because the mean of its divisors is an integer number (993898105200).

Almost surely, 2999083428282368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999083428282368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908284361984000).

999083428282368 is an abundant number, since it is smaller than the sum of its proper divisors (2817485295685632).

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

999083428282368 is an equidigital number, since it uses as much as digits as its factorization.

999083428282368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 5159780352, while the sum is 81.

The spelling of 999083428282368 in words is "nine hundred ninety-nine trillion, eighty-three billion, four hundred twenty-eight million, two hundred eighty-two thousand, three hundred sixty-eight".