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999028000368 = 2432192329896151
BaseRepresentation
bin11101000100110101011…
…01011000011001110000
310112111122222102201122200
432202122231120121300
5112332002132002433
62042540325103200
7132114562614606
oct16423255303160
93474588381580
10999028000368
1135575a297212
12141750557b00
1373291ab3428
14364d3307876
151aec1266613
hexe89ab58670

999028000368 has 480 divisors, whose sum is σ = 3213115776000. Its totient is φ = 288039628800.

The previous prime is 999028000367. The next prime is 999028000471. The reversal of 999028000368 is 863000820999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999028000363) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 162414093 + ... + 162420243.

It is an arithmetic number, because the mean of its divisors is an integer number (6693991200).

Almost surely, 2999028000368 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 999028000368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606557888000).

999028000368 is an abundant number, since it is smaller than the sum of its proper divisors (2214087775632).

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

999028000368 is a wasteful number, since it uses less digits than its factorization.

999028000368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6325 (or 6316 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 999028000368 in words is "nine hundred ninety-nine billion, twenty-eight million, three hundred sixty-eight", and thus it is an aban number.