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11154226512 = 24311135330661
BaseRepresentation
bin10100110001101011…
…11111110101010000
31001210100122102020110
422120311333311100
5140320440222022
65042453441320
7543261234552
oct123065776520
931710572213
1011154226512
1148042a7520
1221b3640240
131089b76240
1477b5794d2
154543a600c
hex298d7fd50

11154226512 has 160 divisors (see below), whose sum is σ = 34492542336. Its totient is φ = 3061094400.

The previous prime is 11154226481. The next prime is 11154226547. The reversal of 11154226512 is 21562245111.

It is a super-2 number, since 2×111542265122 (a number of 21 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 11154226512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348462 + ... + 379122.

Almost surely, 211154226512 is an apocalyptic number.

11154226512 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 11154226512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17246271168).

11154226512 is an abundant number, since it is smaller than the sum of its proper divisors (23338315824).

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

11154226512 is a wasteful number, since it uses less digits than its factorization.

11154226512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30749 (or 30743 counting only the distinct ones).

The product of its digits is 4800, while the sum is 30.

The spelling of 11154226512 in words is "eleven billion, one hundred fifty-four million, two hundred twenty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 53 66 78 88 104 106 132 143 156 159 176 208 212 264 286 312 318 424 429 528 572 583 624 636 689 848 858 1144 1166 1272 1378 1716 1749 2067 2288 2332 2544 2756 3432 3498 4134 4664 5512 6864 6996 7579 8268 9328 11024 13992 15158 16536 22737 27984 30316 30661 33072 45474 60632 61322 90948 91983 121264 122644 181896 183966 245288 337271 363792 367932 398593 490576 674542 735864 797186 1011813 1195779 1349084 1471728 1594372 1625033 2023626 2391558 2698168 3188744 3250066 4047252 4384523 4783116 4875099 5396336 6377488 6500132 8094504 8769046 9566232 9750198 13000264 13153569 16189008 17538092 17875363 19132464 19500396 21125429 26000528 26307138 35076184 35750726 39000792 42250858 52614276 53626089 63376287 70152368 71501452 78001584 84501716 105228552 107252178 126752574 143002904 169003432 210457104 214504356 232379719 253505148 286005808 338006864 429008712 464759438 507010296 697139157 858017424 929518876 1014020592 1394278314 1859037752 2788556628 3718075504 5577113256 11154226512