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11448715244712 = 2331967508173751
BaseRepresentation
bin1010011010011001110010…
…0110101111010010101000
31111112111010122112212222220
42212212130212233102220
53000033432100312322
640203244524314040
72261066556632004
oct246463446572250
944474118485886
1011448715244712
113714411319729
12134aa076a2920
136507bc5a3c85
142b8199595704
1514cc19c6955c
hexa699c9af4a8

11448715244712 has 128 divisors (see below), whose sum is σ = 30584305382400. Its totient is φ = 3560673600000.

The previous prime is 11448715244711. The next prime is 11448715244717. The reversal of 11448715244712 is 21744251784411.

It is a happy number.

11448715244712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11448715244711) 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, 155197837 + ... + 155271587.

It is an arithmetic number, because the mean of its divisors is an integer number (238939885800).

Almost surely, 211448715244712 is an apocalyptic number.

11448715244712 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 11448715244712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15292152691200).

11448715244712 is an abundant number, since it is smaller than the sum of its proper divisors (19135590137688).

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

11448715244712 is a wasteful number, since it uses less digits than its factorization.

11448715244712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78927 (or 78923 counting only the distinct ones).

The product of its digits is 2007040, while the sum is 51.

The spelling of 11448715244712 in words is "eleven trillion, four hundred forty-eight billion, seven hundred fifteen million, two hundred forty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 67 76 114 134 152 201 228 268 402 456 536 804 1273 1608 2546 3819 5081 5092 7638 10162 10184 15243 15276 20324 30486 30552 40648 60972 73751 96539 121944 147502 193078 221253 289617 295004 340427 386156 442506 579234 590008 680854 772312 885012 1021281 1158468 1361708 1401269 1770024 2042562 2316936 2723416 2802538 4085124 4203807 4941317 5605076 6468113 8170248 8407614 9882634 11210152 12936226 14823951 16815228 19404339 19765268 25872452 29647902 33630456 38808678 39530536 51744904 59295804 77617356 93885023 118591608 155234712 187770046 281655069 374728831 375540092 563310138 749457662 751080184 1124186493 1126620276 1498915324 2248372986 2253240552 2997830648 4496745972 7119847789 8993491944 14239695578 21359543367 25106831677 28479391156 42719086734 50213663354 56958782312 75320495031 85438173468 100427326708 150640990062 170876346936 200854653416 301281980124 477029801863 602563960248 954059603726 1431089405589 1908119207452 2862178811178 3816238414904 5724357622356 11448715244712