Search a number
-
+
135163612064 = 25131493077103
BaseRepresentation
bin111110111100001100…
…0010000101110100000
3110220212210011220202002
41331320120100232200
54203303341041224
6142032053143132
712523323513635
oct1757030205640
9426783156662
10135163612064
1152360376318
122224202aaa8
13c9908b9ca0
14678319a18c
1537b13379ae
hex1f78610ba0

135163612064 has 96 divisors (see below), whose sum is σ = 289476633600. Its totient is φ = 61753992192.

The previous prime is 135163612063. The next prime is 135163612081. The reversal of 135163612064 is 460216361531.

It is not an unprimeable number, because it can be changed into a prime (135163612063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19025537 + ... + 19032639.

It is an arithmetic number, because the mean of its divisors is an integer number (3015381600).

Almost surely, 2135163612064 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 135163612064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144738316800).

135163612064 is an abundant number, since it is smaller than the sum of its proper divisors (154313021536).

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

135163612064 is a wasteful number, since it uses less digits than its factorization.

135163612064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7582 (or 7574 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

Adding to 135163612064 its reverse (460216361531), we get a palindrome (595379973595).

The spelling of 135163612064 in words is "one hundred thirty-five billion, one hundred sixty-three million, six hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 149 208 298 307 416 596 614 1192 1228 1937 2384 2456 3874 3991 4768 4912 7103 7748 7982 9824 14206 15496 15964 28412 30992 31928 45743 56824 61984 63856 91486 92339 113648 127712 182972 184678 227296 365944 369356 594659 731888 738712 1058347 1189318 1463776 1477424 2116694 2180621 2378636 2954848 4233388 4361242 4757272 8466776 8722484 9514544 13758511 16933552 17444968 19029088 27517022 28348073 33867104 34889936 55034044 56696146 69779872 110068088 113392292 220136176 226784584 324912529 440272352 453569168 649825058 907138336 1299650116 2599300232 4223862877 5198600464 8447725754 10397200928 16895451508 33790903016 67581806032 135163612064