Search a number
-
+
135065744528 = 241113179329789
BaseRepresentation
bin111110111001010001…
…0111011010010010000
3110220121222000201201112
41331302202323102100
54203103312311103
6142014235352452
712521024612561
oct1756242732220
9426558021645
10135065744528
1152310100a60
12222152b2728
13c976541cc0
1467741a2168
1537a7954cd8
hex1f728bb490

135065744528 has 80 divisors (see below), whose sum is σ = 309158337600. Its totient is φ = 56354173440.

The previous prime is 135065744521. The next prime is 135065744537. The reversal of 135065744528 is 825447560531.

It is not an unprimeable number, because it can be changed into a prime (135065744521) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 244658 + ... + 574446.

It is an arithmetic number, because the mean of its divisors is an integer number (3864479220).

Almost surely, 2135065744528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135065744528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154579168800).

135065744528 is an abundant number, since it is smaller than the sum of its proper divisors (174092593072).

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

135065744528 is a wasteful number, since it uses less digits than its factorization.

135065744528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330000 (or 329994 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 50.

The spelling of 135065744528 in words is "one hundred thirty-five billion, sixty-five million, seven hundred forty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 179 208 286 358 572 716 1144 1432 1969 2288 2327 2864 3938 4654 7876 9308 15752 18616 25597 31504 37232 51194 102388 204776 329789 409552 659578 1319156 2638312 3627679 4287257 5276624 7255358 8574514 14510716 17149028 29021432 34298056 47159827 58042864 59032231 68596112 94319654 118064462 188639308 236128924 377278616 472257848 649354541 754557232 767419003 944515696 1298709082 1534838006 2597418164 3069676012 5194836328 6139352024 8441609033 10389672656 12278704048 16883218066 33766436132 67532872264 135065744528