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11293543275 = 3527217414409
BaseRepresentation
bin10101000010010010…
…11100101101101011
31002011001210102220120
422201021130231223
5141112121341100
65104351454323
7546602351100
oct124111345553
932131712816
1011293543275
114875a02243
1222322273a3
1310ac9a45b1
14791c82aa7
154617250a0
hex2a125cb6b

11293543275 has 144 divisors (see below), whose sum is σ = 23564429280. Its totient is φ = 4739481600.

The previous prime is 11293543259. The next prime is 11293543277. The reversal of 11293543275 is 57234539211.

11293543275 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11293543275 - 24 = 11293543259 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11293543277) 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 143 ways as a sum of consecutive naturals, for example, 2559271 + ... + 2563679.

It is an arithmetic number, because the mean of its divisors is an integer number (163641870).

Almost surely, 211293543275 is an apocalyptic number.

11293543275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11293543275 is an abundant number, since it is smaller than the sum of its proper divisors (12270886005).

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

11293543275 is a wasteful number, since it uses less digits than its factorization.

11293543275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494 (or 4482 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The spelling of 11293543275 in words is "eleven billion, two hundred ninety-three million, five hundred forty-three thousand, two hundred seventy-five".

Divisors: 1 3 5 7 15 17 21 25 35 41 49 51 75 85 105 119 123 147 175 205 245 255 287 357 425 525 595 615 697 735 833 861 1025 1225 1275 1435 1785 2009 2091 2499 2975 3075 3485 3675 4165 4305 4409 4879 6027 7175 8925 10045 10455 12495 13227 14637 17425 20825 21525 22045 24395 30135 30863 34153 50225 52275 62475 66135 73185 74953 92589 102459 110225 121975 150675 154315 170765 180769 216041 224859 330675 365925 374765 462945 512295 524671 542307 648123 771575 853825 903845 1080205 1124295 1265383 1574013 1873825 2314725 2561475 2623355 2711535 3073073 3240615 3672697 3796149 4519225 5401025 5621475 6326915 7870065 8857681 9219219 11018091 13116775 13557675 15365365 16203075 18363485 18980745 21511511 26573043 31634575 39350325 44288405 46096095 55090455 64534533 76826825 91817425 94903725 107557555 132865215 150580577 221442025 230480475 275452275 322672665 451741731 537787775 664326075 752902885 1613363325 2258708655 3764514425 11293543275