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11445678635512 = 23112361829111827
BaseRepresentation
bin1010011010001110011110…
…0110111111100111111000
31111112012022000122011021111
42212203213212333213320
53000011222212314022
640202023331250104
72260631405112652
oct246434746774770
944465260564244
1011445678635512
1137130a3224250
12134a2ba749934
136504274423b4
142b7d8c17d6d2
1514cadd393477
hexa68e79bf9f8

11445678635512 has 128 divisors (see below), whose sum is σ = 24860169561600. Its totient is φ = 4888853798400.

The previous prime is 11445678635459. The next prime is 11445678635513. The reversal of 11445678635512 is 21553687654411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11445678635513) 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, 102295743 + ... + 102407569.

It is an arithmetic number, because the mean of its divisors is an integer number (194220074700).

Almost surely, 211445678635512 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 11445678635512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12430084780800).

11445678635512 is an abundant number, since it is smaller than the sum of its proper divisors (13414490926088).

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

11445678635512 is a wasteful number, since it uses less digits than its factorization.

11445678635512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112757 (or 112753 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 58.

The spelling of 11445678635512 in words is "eleven trillion, four hundred forty-five billion, six hundred seventy-eight million, six hundred thirty-five thousand, five hundred twelve".

Divisors: 1 2 4 8 11 22 23 44 46 61 88 92 122 184 244 253 488 506 671 829 1012 1342 1403 1658 2024 2684 2806 3316 5368 5612 6632 9119 11224 15433 18238 19067 30866 36476 38134 50569 61732 72952 76268 101138 111827 123464 152536 202276 209737 223654 404552 419474 447308 556259 838948 894616 1112518 1163087 1230097 1677896 2225036 2326174 2460194 2572021 4450072 4652348 4920388 5144042 6821447 9304696 9840776 10288084 12793957 13642894 20576168 25587914 27285788 28292231 51175828 54571576 56584462 75035917 92704583 102351656 113168924 150071834 156893281 185409166 226337848 300143668 313786562 370818332 600287336 627573124 741636664 1019750413 1255146248 1725826091 2039500826 2132205409 3451652182 4079001652 4264410818 5654979563 6903304364 8158003304 8528821636 11309959126 13806608728 17057643272 22619918252 23454259499 45239836504 46908518998 62204775193 93817037996 124409550386 130064529949 187634075992 248819100772 260129059898 497638201544 520258119796 1040516239592 1430709829439 2861419658878 5722839317756 11445678635512