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11286208217088 = 2153375033623
BaseRepresentation
bin1010010000111100011001…
…1011101000000000000000
31110221221200020220112122000
42210033012123220000000
52434403123300421323
640000451254544000
72243254521660240
oct244170633500000
943857606815560
1011286208217088
1136614aa342612
121323414368000
1363b391b1726c
142b0380b21b20
151488a8163e43
hexa43c66e8000

11286208217088 has 512 divisors, whose sum is σ = 38303812915200. Its totient is φ = 3217331847168.

The previous prime is 11286208217083. The next prime is 11286208217101. The reversal of 11286208217088 is 88071280268211.

It is a happy number.

11286208217088 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 620 + 8 + 2 + 1 + 7 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is not an unprimeable number, because it can be changed into a prime (11286208217083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3115153645 + ... + 3115157267.

It is an arithmetic number, because the mean of its divisors is an integer number (74812134600).

Almost surely, 211286208217088 is an apocalyptic number.

11286208217088 is a gapful number since it is divisible by the number (18) 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 11286208217088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19151906457600).

11286208217088 is an abundant number, since it is smaller than the sum of its proper divisors (27017604698112).

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

11286208217088 is an frugal number, since it uses more digits than its factorization.

11286208217088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The spelling of 11286208217088 in words is "eleven trillion, two hundred eighty-six billion, two hundred eight million, two hundred seventeen thousand, eighty-eight".