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11242367585281 = 72401957087851
BaseRepresentation
bin1010001110011001000101…
…0100111000110000000001
31110210202111221000200202001
42203212101110320300001
52433143332100212111
635524401122024001
72240143230521200
oct243462124706001
943722457020661
1011242367585281
113644952460aa8
121316a1a1a8001
136371c6172301
142ac1c2447237
1514768e3d71c1
hexa3991538c01

11242367585281 has 12 divisors (see below), whose sum is σ = 13081110407280. Its totient is φ = 9633917214600.

The previous prime is 11242367585159. The next prime is 11242367585291. The reversal of 11242367585281 is 18258576324211.

It is not a de Polignac number, because 11242367585281 - 27 = 11242367585153 is a prime.

It is a super-4 number, since 4×112423675852814 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11242367585291) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 28346995 + ... + 28740856.

It is an arithmetic number, because the mean of its divisors is an integer number (1090092533940).

Almost surely, 211242367585281 is an apocalyptic number.

It is an amenable number.

11242367585281 is a deficient number, since it is larger than the sum of its proper divisors (1838742821999).

11242367585281 is an equidigital number, since it uses as much as digits as its factorization.

11242367585281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57091884 (or 57091877 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 55.

The spelling of 11242367585281 in words is "eleven trillion, two hundred forty-two billion, three hundred sixty-seven million, five hundred eighty-five thousand, two hundred eighty-one".

Divisors: 1 7 49 4019 28133 196931 57087851 399614957 2797304699 229436073169 1606052512183 11242367585281