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11755455348 = 22372131537867
BaseRepresentation
bin10101111001010111…
…00000001101110100
31010100020222000011010
422330223200031310
5143033344032343
65222252112220
7564211502400
oct127453401564
933306860133
1011755455348
114a9271465a
122340a65670
1311545b2250
147d7362100
1548c067d33
hex2bcae0374

11755455348 has 72 divisors (see below), whose sum is σ = 34362122592. Its totient is φ = 3100337856.

The previous prime is 11755455331. The next prime is 11755455353. The reversal of 11755455348 is 84355455711.

11755455348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×117554553482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11755455297 and 11755455306.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 761290 + ... + 776577.

Almost surely, 211755455348 is an apocalyptic number.

It is an amenable number.

11755455348 is an abundant number, since it is smaller than the sum of its proper divisors (22606667244).

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

11755455348 is a wasteful number, since it uses less digits than its factorization.

11755455348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537901 (or 1537892 counting only the distinct ones).

The product of its digits is 1680000, while the sum is 48.

The spelling of 11755455348 in words is "eleven billion, seven hundred fifty-five million, four hundred fifty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 1537867 3075734 4613601 6151468 9227202 10765069 18454404 19992271 21530138 32295207 39984542 43060276 59976813 64590414 75355483 79969084 119953626 129180828 139945897 150710966 226066449 239907252 279891794 301421932 419837691 452132898 559783588 839675382 904265796 979621279 1679350764 1959242558 2938863837 3918485116 5877727674 11755455348