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11545342421013 = 3229378771363217
BaseRepresentation
bin1010100000000001110000…
…0010001010100000010101
31111212201112202122000221100
42220000130002022200111
53003124330124433023
640315505044140313
72301060230241162
oct250003402124025
944781482560840
1011545342421013
1137513968a0425
121365693997699
1365994b3b453b
142bcb246c1069
151504c2d18c43
hexa801c08a815

11545342421013 has 48 divisors (see below), whose sum is σ = 17738138087280. Its totient is φ = 7222383802368.

The previous prime is 11545342420951. The next prime is 11545342421023. The reversal of 11545342421013 is 31012424354511.

11545342421013 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 5 + 3 + 424 + 210 + 13 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4255812213444 + 7289530207569 = 2062962^2 + 2699913^2 .

It is not a de Polignac number, because 11545342421013 - 217 = 11545342289941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11545342421023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7787581 + ... + 9150797.

It is an arithmetic number, because the mean of its divisors is an integer number (369544543485).

Almost surely, 211545342421013 is an apocalyptic number.

It is an amenable number.

11545342421013 is a deficient number, since it is larger than the sum of its proper divisors (6192795666267).

11545342421013 is a wasteful number, since it uses less digits than its factorization.

11545342421013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364166 (or 1364163 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 11545342421013 its reverse (31012424354511), we get a palindrome (42557766775524).

The spelling of 11545342421013 in words is "eleven trillion, five hundred forty-five billion, three hundred forty-two million, four hundred twenty-one thousand, thirteen".

Divisors: 1 3 9 29 37 87 111 261 333 877 1073 2631 3219 7893 9657 25433 32449 76299 97347 228897 292041 941021 1363217 2823063 4089651 8469189 12268953 39533293 50439029 118599879 151317087 355799637 453951261 1195541309 1462731841 3586623927 4388195523 10759871781 13164586569 34670697961 44235028433 104012093883 132705085299 312036281649 398115255897 1282815824557 3848447473671 11545342421013