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11550011344104 = 2336191111177753
BaseRepresentation
bin1010100000010011001001…
…0100101100010011101000
31111220011121011000220100210
42220010302110230103220
53003213410401002404
640322000231301120
72301314022363642
oct250046224542350
944804534026323
1011550011344104
113753372328452
12136657751a7a0
1365a21378411c
142bd0487dd892
15150697b73689
hexa813252c4e8

11550011344104 has 128 divisors (see below), whose sum is σ = 29410701166080. Its totient is φ = 3778858137600.

The previous prime is 11550011344103. The next prime is 11550011344147. The reversal of 11550011344104 is 40144311005511.

It is not an unprimeable number, because it can be changed into a prime (11550011344103) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1489743492 + ... + 1489751244.

It is an arithmetic number, because the mean of its divisors is an integer number (229771102860).

Almost surely, 211550011344104 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 11550011344104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14705350583040).

11550011344104 is an abundant number, since it is smaller than the sum of its proper divisors (17860689821976).

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

11550011344104 is a wasteful number, since it uses less digits than its factorization.

11550011344104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9851 (or 9847 counting only the distinct ones).

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

Adding to 11550011344104 its reverse (40144311005511), we get a palindrome (51694322349615).

The spelling of 11550011344104 in words is "eleven trillion, five hundred fifty billion, eleven million, three hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 911 1117 1464 1822 2234 2733 3351 3644 4468 5466 6702 7288 7753 8936 10932 13404 15506 21864 23259 26808 31012 46518 55571 62024 68137 93036 111142 136274 166713 186072 204411 222284 272548 333426 408822 444568 472933 545096 666852 817644 945866 1017587 1333704 1418799 1635288 1891732 2035174 2837598 3052761 3783464 4070348 5675196 6105522 7062983 8140696 8660101 11350392 12211044 14125966 17320202 21188949 24422088 25980303 28251932 34640404 42377898 51960606 56503864 62072807 69280808 84755796 103921212 124145614 169511592 186218421 207842424 248291228 372436842 430841963 496582456 528266161 744873684 861683926 1056532322 1292525889 1489747368 1584798483 1723367852 2113064644 2585051778 3169596966 3446735704 4226129288 5170103556 6339193932 7889352011 10340207112 12678387864 15778704022 23668056033 31557408044 47336112066 63114816088 94672224132 189344448264 481250472671 962500945342 1443751418013 1925001890684 2887502836026 3850003781368 5775005672052 11550011344104