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11271745524 = 223132572631069
BaseRepresentation
bin10100111111101100…
…10010111111110100
31002002112210000000110
422133312102333310
5141041031324044
65102252343020
7546216153564
oct123766227764
932075700013
1011271745524
114864674276
122226a74a70
1310a8311b10
1478d00ada4
1545e86b6b9
hex29fd92ff4

11271745524 has 96 divisors (see below), whose sum is σ = 28568897280. Its totient is φ = 3438379008.

The previous prime is 11271745523. The next prime is 11271745553. The reversal of 11271745524 is 42554717211.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11271745523) 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, 10543662 + ... + 10544730.

It is an arithmetic number, because the mean of its divisors is an integer number (297592680).

Almost surely, 211271745524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11271745524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14284448640).

11271745524 is an abundant number, since it is smaller than the sum of its proper divisors (17297151756).

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

11271745524 is a wasteful number, since it uses less digits than its factorization.

11271745524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1607 counting only the distinct ones).

The product of its digits is 78400, while the sum is 39.

The spelling of 11271745524 in words is "eleven billion, two hundred seventy-one million, seven hundred forty-five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 257 263 514 526 771 789 1028 1052 1069 1542 1578 2138 3084 3156 3207 3341 3419 4276 6414 6682 6838 10023 10257 12828 13364 13676 13897 20046 20514 27794 40092 41028 41691 55588 67591 83382 135182 166764 202773 270364 274733 281147 405546 549466 562294 811092 824199 843441 878683 1098932 1124588 1648398 1686882 1757366 2636049 3296796 3373764 3514732 3571529 3654911 5272098 7143058 7309822 10544196 10714587 10964733 14286116 14619644 21429174 21929466 42858348 43858932 72254779 144509558 216764337 289019116 433528674 867057348 939312127 1878624254 2817936381 3757248508 5635872762 11271745524