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11395318272 = 293133141449
BaseRepresentation
bin10101001110011011…
…01100001000000000
31002102011022010221220
422213031230020000
5141314200141042
65122425115040
7552246415152
oct124715541000
932364263856
1011395318272
1149183a6308
122260328a80
1310c7ab9ca0
147a15b6ad2
1546a62a8ec
hex2a736c200

11395318272 has 320 divisors, whose sum is σ = 34647782400. Its totient is φ = 3303014400.

The previous prime is 11395318211. The next prime is 11395318279. The reversal of 11395318272 is 27281359311.

It is not an unprimeable number, because it can be changed into a prime (11395318279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25379104 + ... + 25379552.

It is an arithmetic number, because the mean of its divisors is an integer number (108274320).

Almost surely, 211395318272 is an apocalyptic number.

11395318272 is a gapful number since it is divisible by the number (12) 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 11395318272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17323891200).

11395318272 is an abundant number, since it is smaller than the sum of its proper divisors (23252464128).

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

11395318272 is a wasteful number, since it uses less digits than its factorization.

11395318272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 539 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The spelling of 11395318272 in words is "eleven billion, three hundred ninety-five million, three hundred eighteen thousand, two hundred seventy-two".