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11277683297352 = 23341942110212131
BaseRepresentation
bin1010010000011100101001…
…0011101000110001001000
31110221010200010202202020000
42210013022103220301020
52434233143411003402
635552521324203000
72242533335233653
oct244071223506110
943833603682200
1011277683297352
1136589252381aa
121321835399460
1363a633905564
142adbb285689a
15148559a2bc1c
hexa41ca4e8c48

11277683297352 has 320 divisors, whose sum is σ = 33377758814400. Its totient is φ = 3547768896000.

The previous prime is 11277683297267. The next prime is 11277683297381. The reversal of 11277683297352 is 25379238677211.

11277683297352 is a `hidden beast` number, since 1 + 1 + 277 + 6 + 8 + 3 + 2 + 9 + 7 + 352 = 666.

It is a super-2 number, since 2×112776832973522 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11277683297352.

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 79 ways as a sum of consecutive naturals, for example, 5292201327 + ... + 5292203457.

It is an arithmetic number, because the mean of its divisors is an integer number (104305496295).

Almost surely, 211277683297352 is an apocalyptic number.

11277683297352 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 11277683297352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16688879407200).

11277683297352 is an abundant number, since it is smaller than the sum of its proper divisors (22100075517048).

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

11277683297352 is a wasteful number, since it uses less digits than its factorization.

11277683297352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3597 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The spelling of 11277683297352 in words is "eleven trillion, two hundred seventy-seven billion, six hundred eighty-three million, two hundred ninety-seven thousand, three hundred fifty-two".