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11553051631345 = 572372817096397
BaseRepresentation
bin1010100000011110011110…
…0010011101111011110001
31111220110110000212111101221
42220013213202131323301
53003241122204200340
640323222035225041
72301452250402100
oct250074742357361
944813400774357
1011553051631345
113754692505234
121367085748181
1365a5a9602b63
142bd2564d2037
151507c4a2444a
hexa81e789def1

11553051631345 has 96 divisors (see below), whose sum is σ = 16647974249760. Its totient is φ = 7668519505920.

The previous prime is 11553051631321. The next prime is 11553051631397. The reversal of 11553051631345 is 54313615035511.

It can be written as a sum of positive squares in 16 ways, for example, as 4800204937969 + 6752846693376 = 2190937^2 + 2598624^2 .

It is not a de Polignac number, because 11553051631345 - 215 = 11553051598577 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1806007687 + ... + 1806014083.

It is an arithmetic number, because the mean of its divisors is an integer number (173416398435).

Almost surely, 211553051631345 is an apocalyptic number.

It is an amenable number.

11553051631345 is a deficient number, since it is larger than the sum of its proper divisors (5094922618415).

11553051631345 is a wasteful number, since it uses less digits than its factorization.

11553051631345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7443 (or 7436 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 43.

Adding to 11553051631345 its reverse (54313615035511), we get a palindrome (65866666666856).

The spelling of 11553051631345 in words is "eleven trillion, five hundred fifty-three billion, fifty-one million, six hundred thirty-one thousand, three hundred forty-five".

Divisors: 1 5 7 35 37 49 185 245 259 281 709 1295 1405 1813 1967 3545 4963 6397 9065 9835 10397 13769 24815 26233 31985 34741 44779 51985 68845 72779 131165 173705 183631 199229 223895 236689 313453 363895 509453 918155 996145 1183445 1285417 1394603 1567265 1656823 1797557 2547265 4535473 6427085 6973015 7371473 8284115 8987785 9762221 11597761 12582899 22677365 31748311 36857365 48811105 51600311 57988805 62914495 66509609 88080293 158741555 167812501 222238177 258001555 332548045 361202177 440401465 465567263 839062505 1111190885 1174687507 1274467913 1806010885 2327836315 3258970841 5873437535 6372339565 8222812549 8921275391 16294854205 41114062745 44606376955 47155312781 62448927737 235776563905 312244638685 330087189467 1650435947335 2310610326269 11553051631345