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11081242536 = 23371311934253
BaseRepresentation
bin10100101000111111…
…00101011110101000
31001121021022110001020
422110133211132220
5140143244230121
65031325252440
7541414002360
oct122437453650
931537273036
1011081242536
114777088591
122193104120
131077a01460
147719bb9a0
1544cc8b1c6
hex2947e57a8

11081242536 has 128 divisors (see below), whose sum is σ = 34132734720. Its totient is φ = 2919389184.

The previous prime is 11081242483. The next prime is 11081242541. The reversal of 11081242536 is 63524218011.

It is a super-2 number, since 2×110812425362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11081242497 and 11081242506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2603386 + ... + 2607638.

It is an arithmetic number, because the mean of its divisors is an integer number (266661990).

Almost surely, 211081242536 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 11081242536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17066367360).

11081242536 is an abundant number, since it is smaller than the sum of its proper divisors (23051492184).

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

11081242536 is a wasteful number, since it uses less digits than its factorization.

11081242536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5475 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 11081242536 in words is "eleven billion, eighty-one million, two hundred forty-two thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 1193 2184 2386 3579 4253 4772 7158 8351 8506 9544 12759 14316 15509 16702 17012 25053 25518 28632 29771 31018 33404 34024 46527 50106 51036 55289 59542 62036 66808 89313 93054 100212 102072 108563 110578 119084 124072 165867 178626 186108 200424 217126 221156 238168 325689 331734 357252 372216 387023 434252 442312 651378 663468 714504 774046 868504 1161069 1302756 1326936 1548092 2322138 2605512 3096184 4644276 5073829 9288552 10147658 15221487 20295316 30442974 35516803 40590632 60885948 65959777 71033606 106550409 121771896 131919554 142067212 197879331 213100818 263839108 284134424 395758662 426201636 461718439 527678216 791517324 852403272 923436878 1385155317 1583034648 1846873756 2770310634 3693747512 5540621268 11081242536