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866653200000000 = 210325872173
BaseRepresentation
bin1100010100001101110110110…
…0001000010010010000000000
311012122120020101121111101000200
43011003131230020102100000
51402043221223200000000
612311114552254245200
7350355425131615500
oct30503355410222000
94178506347441020
10866653200000000
11231162615885796
128124b2431b6800
132b27707a3427ca
141140234ad77a00
156a2d98a3a8500
hex314376c212400

866653200000000 has 3564 divisors, whose sum is σ = 3866129338900140. Its totient is φ = 186439680000000.

The previous prime is 866653199999971. The next prime is 866653200000031. The reversal of 866653200000000 is 2356668.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 18 ways, for example, as 60890929053696 + 805762270946304 = 7803264^2 + 28385952^2 .

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

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 50979599999992 + ... + 50979600000008.

Almost surely, 2866653200000000 is an apocalyptic number.

866653200000000 is a gapful number since it is divisible by the number (80) 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 866653200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933064669450070).

866653200000000 is an abundant number, since it is smaller than the sum of its proper divisors (2999476138900140).

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

866653200000000 is an frugal number, since it uses more digits than its factorization.

866653200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 34 counting only the distinct ones).

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

Adding to 866653200000000 its reverse (2356668), we get a palindrome (866653202356668).

The spelling of 866653200000000 in words is "eight hundred sixty-six trillion, six hundred fifty-three billion, two hundred million", and thus it is an aban number.