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28360307412864 = 273372539931019
BaseRepresentation
bin1100111001011001001100…
…00011001000111110000000
310201102012220120210221012000
412130230212003020332000
512204123402144202424
6140152313444304000
75654651566353600
oct634544603107600
9121365816727160
1028360307412864
1190445a2201449
1232205016a2000
1312a949a05887b
14700909274c00
15342ab3bd33c9
hex19cb260c8f80

28360307412864 has 384 divisors, whose sum is σ = 97389151200000. Its totient is φ = 8101182974976.

The previous prime is 28360307412839. The next prime is 28360307412901. The reversal of 28360307412864 is 46821470306382.

28360307412864 is a `hidden beast` number, since 2 + 8 + 3 + 603 + 0 + 7 + 4 + 1 + 28 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 28360307412864.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 914272747 + ... + 914303765.

It is an arithmetic number, because the mean of its divisors is an integer number (253617581250).

Almost surely, 228360307412864 is an apocalyptic number.

28360307412864 is a gapful number since it is divisible by the number (24) 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 28360307412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48694575600000).

28360307412864 is an abundant number, since it is smaller than the sum of its proper divisors (69028843787136).

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

28360307412864 is a wasteful number, since it uses less digits than its factorization.

28360307412864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36455 (or 36430 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 28360307412864 in words is "twenty-eight trillion, three hundred sixty billion, three hundred seven million, four hundred twelve thousand, eight hundred sixty-four".