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135405033533 = 711231373131783
BaseRepresentation
bin111111000011011000…
…1001101100000111101
3110221111121110101201222
41332012301031200331
54204302142033113
6142112035443125
712532314536420
oct1760661154075
9427447411658
10135405033533
115247467a8a0
12222aaa564a5
13c9cb917b23
1467a72819b7
1537c7624e08
hex1f86c4d83d

135405033533 has 64 divisors (see below), whose sum is σ = 178109079552. Its totient is φ = 99810247680.

The previous prime is 135405033527. The next prime is 135405033637. The reversal of 135405033533 is 335330504531.

It is not a de Polignac number, because 135405033533 - 26 = 135405033469 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135405033493 and 135405033502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135405833533) 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, 75941360 + ... + 75943142.

It is an arithmetic number, because the mean of its divisors is an integer number (2782954368).

Almost surely, 2135405033533 is an apocalyptic number.

It is an amenable number.

135405033533 is a deficient number, since it is larger than the sum of its proper divisors (42704046019).

135405033533 is a wasteful number, since it uses less digits than its factorization.

135405033533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274.

The product of its (nonzero) digits is 121500, while the sum is 35.

The spelling of 135405033533 in words is "one hundred thirty-five billion, four hundred five million, thirty-three thousand, five hundred thirty-three".

Divisors: 1 7 11 23 77 137 161 253 313 959 1507 1771 1783 2191 3151 3443 7199 10549 12481 19613 22057 24101 34661 41009 42881 50393 79189 137291 242627 244271 287063 300167 451099 471691 554323 558079 986263 1709897 2686981 3157693 3301837 3906553 5618233 6138869 6903841 10848893 12835817 18808867 39327631 42972083 61800563 75942251 76456823 89850719 141193987 432603941 535197761 841025053 988357909 1758506929 5887175371 12309548503 19343576219 135405033533