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11455435201002 = 2313192727559597
BaseRepresentation
bin1010011010110010110100…
…1001010101100111101010
31111120010110222100001000220
42212230231021111213222
53000141212402413002
640210315420310510
72261425235416212
oct246545511254752
944503428301026
1011455435201002
11371724a58a311
1213501820a2436
13651320878680
142b8635c55242
1514ceaebb77bc
hexa6b2d2559ea

11455435201002 has 96 divisors (see below), whose sum is σ = 26076049114752. Its totient is φ = 3334637040768.

The previous prime is 11455435200949. The next prime is 11455435201009. The reversal of 11455435201002 is 20010253455411.

It is not an unprimeable number, because it can be changed into a prime (11455435201009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20191068 + ... + 20750664.

It is an arithmetic number, because the mean of its divisors is an integer number (271625511612).

Almost surely, 211455435201002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11455435201002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13038024557376).

11455435201002 is an abundant number, since it is smaller than the sum of its proper divisors (14620613913750).

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

11455435201002 is a wasteful number, since it uses less digits than its factorization.

11455435201002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560380 (or 560361 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 11455435201002 its reverse (20010253455411), we get a palindrome (31465688656413).

The spelling of 11455435201002 in words is "eleven trillion, four hundred fifty-five billion, four hundred thirty-five million, two hundred one thousand, two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 361 494 722 727 741 1083 1454 1482 2166 2181 4362 4693 9386 9451 13813 14079 18902 27626 28158 28353 41439 56706 82878 179569 262447 359138 524894 538707 559597 787341 1077414 1119194 1574682 1678791 3357582 3411811 6823622 7274761 10235433 10632343 14549522 20470866 21264686 21824283 31897029 43648566 63794058 138220459 202014517 276440918 404029034 406827019 414661377 606043551 813654038 829322754 1212087102 1220481057 2440962114 2626188721 5252377442 5288751247 7729713361 7878566163 10577502494 15459426722 15757132326 15866253741 23189140083 31732507482 46378280166 100486273693 146864553859 200972547386 293729107718 301458821079 440593661577 602917642158 881187323154 1909239200167 3818478400334 5727717600501 11455435201002