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13352523042534 = 23132643116317609
BaseRepresentation
bin1100001001001110000001…
…1001001000111011100110
31202021111012021210120100020
43002103200121020323212
53222231431344330114
644222021524500010
72545454653125654
oct302234031107346
952244167716306
1013352523042534
114288856181265
1215b7984b4a606
1375b1a3193400
143423a09c5dd4
151824e2e68aa9
hexc24e0648ee6

13352523042534 has 96 divisors (see below), whose sum is σ = 28988820120960. Its totient is φ = 4098319190784.

The previous prime is 13352523042527. The next prime is 13352523042557. The reversal of 13352523042534 is 43524032525331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 758269522 + ... + 758287130.

It is an arithmetic number, because the mean of its divisors is an integer number (301966876260).

Almost surely, 213352523042534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13352523042534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14494410060480).

13352523042534 is an abundant number, since it is smaller than the sum of its proper divisors (15636297078426).

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

13352523042534 is a wasteful number, since it uses less digits than its factorization.

13352523042534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19446 (or 19433 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 42.

Adding to 13352523042534 its reverse (43524032525331), we get a palindrome (56876555567865).

The spelling of 13352523042534 in words is "thirteen trillion, three hundred fifty-two billion, five hundred twenty-three million, forty-two thousand, five hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 643 1014 1163 1286 1929 2326 3489 3858 6978 8359 15119 16718 17609 25077 30238 35218 45357 50154 52827 90714 105654 108667 196547 217334 228917 326001 393094 457834 589641 652002 686751 747809 1179282 1373502 1495618 2243427 2975921 4486854 5951842 8927763 9721517 11322587 17855526 19443034 20479267 22645174 29164551 33967761 40958534 58329102 61437801 67935522 122875602 126379721 147193631 252759442 266230471 294387262 379139163 441580893 532460942 758278326 798691413 883161786 1597382826 1913517203 3460996123 3827034406 5740551609 6921992246 10382988369 11481103218 13168168681 20765976738 26336337362 39504506043 79009012086 171186192853 342372385706 513558578559 1027117157118 2225420507089 4450841014178 6676261521267 13352523042534