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135552434013 = 331713917312281
BaseRepresentation
bin111111000111110001…
…1011111111101011101
3110221212212211010012000
41332033203133331131
54210102410342023
6142134423032513
712536054451423
oct1761743377535
9427785733160
10135552434013
115253a8a6a77
122233029b739
13ca23316749
1467bca91113
1537d553e243
hex1f8f8dff5d

135552434013 has 64 divisors (see below), whose sum is σ = 215416454400. Its totient is φ = 83945687040.

The previous prime is 135552433901. The next prime is 135552434029. The reversal of 135552434013 is 310434255531.

135552434013 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 5 + 243 + 401 + 3 = 666.

It is not a de Polignac number, because 135552434013 - 212 = 135552429917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135552434033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11031433 + ... + 11043713.

It is an arithmetic number, because the mean of its divisors is an integer number (3365882100).

Almost surely, 2135552434013 is an apocalyptic number.

It is an amenable number.

135552434013 is a deficient number, since it is larger than the sum of its proper divisors (79864020387).

135552434013 is a wasteful number, since it uses less digits than its factorization.

135552434013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12619 (or 12613 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 135552434013 its reverse (310434255531), we get a palindrome (445986689544).

The spelling of 135552434013 in words is "one hundred thirty-five billion, five hundred fifty-two million, four hundred thirty-four thousand, thirteen".

Divisors: 1 3 9 17 27 51 139 153 173 417 459 519 1251 1557 2363 2941 3753 4671 7089 8823 12281 21267 24047 26469 36843 63801 72141 79407 110529 208777 216423 331587 408799 626331 649269 1226397 1707059 1878993 2124613 3679191 5121177 5636979 6373839 11037573 15363531 19121517 29020003 36118421 46090593 57364551 87060009 108355263 261180027 295321207 325065789 783540081 885963621 975197367 2657890863 5020460519 7973672589 15061381557 45184144671 135552434013