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16800008401440 = 253251121723771127
BaseRepresentation
bin1111010001111000111010…
…0010000111001000100000
32012111001202110201101022200
43310132032202013020200
54200222404122321230
655421452312333200
73352521604151505
oct364361642071040
965431673641280
1016800008401440
115397930849300
121a73b549a4200
1394b307116a44
144211a642d4ac
151e2017ccc160
hexf478e887220

16800008401440 has 2592 divisors, whose sum is σ = 70266970755072. Its totient is φ = 3648076185600.

The previous prime is 16800008401439. The next prime is 16800008401441. The reversal of 16800008401440 is 4410480000861.

It is an interprime number because it is at equal distance from previous prime (16800008401439) and next prime (16800008401441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16800008401395 and 16800008401404.

It is not an unprimeable number, because it can be changed into a prime (16800008401441) 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 431 ways as a sum of consecutive naturals, for example, 132283530657 + ... + 132283530783.

It is an arithmetic number, because the mean of its divisors is an integer number (27109170816).

Almost surely, 216800008401440 is an apocalyptic number.

16800008401440 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 16800008401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35133485377536).

16800008401440 is an abundant number, since it is smaller than the sum of its proper divisors (53466962353632).

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

16800008401440 is a wasteful number, since it uses less digits than its factorization.

16800008401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 16800008401440 in words is "sixteen trillion, eight hundred billion, eight million, four hundred one thousand, four hundred forty".