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21387102559200 = 2534527219461769
BaseRepresentation
bin1001101110011100100101…
…01001101001101111100000
32210201120211221122102110000
410313032102221221233200
510300401241223343300
6113253033235540000
74335111224155500
oct467162251515740
983646757572400
1021387102559200
1168a624591a144
122494b6945a600
13bc1a44b47521
1453d1d9997a00
152714daaa1c00
hex137392a69be0

21387102559200 has 2160 divisors, whose sum is σ = 95835224746800. Its totient is φ = 4615136870400.

The previous prime is 21387102559171. The next prime is 21387102559201. The reversal of 21387102559200 is 295520178312.

21387102559200 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 71 + 0 + 2 + 559 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21387102559201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 27811576416 + ... + 27811577184.

It is an arithmetic number, because the mean of its divisors is an integer number (44368159605).

Almost surely, 221387102559200 is an apocalyptic number.

21387102559200 is a gapful number since it is divisible by the number (20) 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 21387102559200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47917612373400).

21387102559200 is an abundant number, since it is smaller than the sum of its proper divisors (74448122187600).

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

21387102559200 is a wasteful number, since it uses less digits than its factorization.

21387102559200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 21387102559200 in words is "twenty-one trillion, three hundred eighty-seven billion, one hundred two million, five hundred fifty-nine thousand, two hundred".