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69241133114296 = 2311131131657323249
BaseRepresentation
bin11111011111001011101010…
…01001001010001110111000
3100002011101110121200201220121
433233211311021022032320
533033421320034124141
6403132534252303024
720404335553364023
oct1757456511121670
9302141417621817
1069241133114296
1120075aaa591a70
12792348b471a74
132c835457b5c20
14131540838a1ba
158011c29131d1
hex3ef97524a3b8

69241133114296 has 128 divisors (see below), whose sum is σ = 153967285080000. Its totient is φ = 28777657466880.

The previous prime is 69241133114291. The next prime is 69241133114339.

69241133114296 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69241133114291) 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, 214042080 + ... + 214365328.

Almost surely, 269241133114296 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 69241133114296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76983642540000).

69241133114296 is an abundant number, since it is smaller than the sum of its proper divisors (84726151965704).

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

69241133114296 is a wasteful number, since it uses less digits than its factorization.

69241133114296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325049 (or 325045 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 52.

The spelling of 69241133114296 in words is "sixty-nine trillion, two hundred forty-one billion, one hundred thirty-three million, one hundred fourteen thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 113 143 226 286 452 572 904 1144 1243 1469 1657 2486 2938 3314 4972 5876 6628 9944 11752 13256 16159 18227 21541 32318 36454 43082 64636 72908 86164 129272 145816 172328 187241 236951 323249 374482 473902 646498 748964 947804 1292996 1497928 1895608 2059651 2434133 2585992 3555739 4119302 4202237 4868266 7111478 8238604 8404474 9736532 14222956 16477208 16808948 19473064 26775463 28445912 33617896 36527137 46224607 53550926 73054274 92449214 107101852 146108548 184898428 214203704 292217096 369796856 401798507 474852781 535623593 803597014 949705562 1071247186 1607194028 1899411124 2142494372 3214388056 3798822248 4284988744 5223380591 5891859523 6963106709 10446761182 11783719046 13926213418 20893522364 23567438092 27852426836 41787044728 47134876184 55704853672 60525466009 76594173799 121050932018 153188347598 242101864036 306376695196 484203728072 612753390392 665780126099 786831058117 1331560252198 1573662116234 2663120504396 3147324232468 5326241008792 6294648464936 8655141639287 17310283278574 34620566557148 69241133114296