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216066503120400 = 243252179103387839
BaseRepresentation
bin110001001000001011100111…
…001010101001011000010000
31001100000202102002202102011100
4301020023213022221120100
5211310013144244323100
62043311325314144400
763340201240460562
oct6110134712513020
91040022362672140
10216066503120400
1162933320195449
1220297176882100
139373ca35a85ba
143b4d962d6d332
1519ea5bb588400
hexc482e72a9610

216066503120400 has 360 divisors, whose sum is σ = 794006563184640. Its totient is φ = 54222358671360.

The previous prime is 216066503120381. The next prime is 216066503120401. The reversal of 216066503120400 is 4021305660612.

216066503120400 is a `hidden beast` number, since 2 + 1 + 606 + 6 + 5 + 0 + 3 + 1 + 2 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (216066503120401) 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 71 ways as a sum of consecutive naturals, for example, 556909681 + ... + 557297519.

It is an arithmetic number, because the mean of its divisors is an integer number (2205573786624).

Almost surely, 2216066503120400 is an apocalyptic number.

216066503120400 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 216066503120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397003281592320).

216066503120400 is an abundant number, since it is smaller than the sum of its proper divisors (577940060064240).

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

216066503120400 is a wasteful number, since it uses less digits than its factorization.

216066503120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396983 (or 396969 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 216066503120400 in words is "two hundred sixteen trillion, sixty-six billion, five hundred three million, one hundred twenty thousand, four hundred".