Search a number
-
+
133465013240634 = 233171955713737761
BaseRepresentation
bin11110010110001010111110…
…101101000100001100111010
3122111120010112020201202021000
4132112022332231010030322
5114443142321342200014
61151504551453025430
740053346306246305
oct3626127655041472
9574503466652230
10133465013240634
1139587215604239
1212b764b6a85276
135961909996a7a
1424d5a53857b3c
151066ae8108509
hex7962beb4433a

133465013240634 has 128 divisors (see below), whose sum is σ = 331156995667200. Its totient is φ = 39596400599040.

The previous prime is 133465013240609. The next prime is 133465013240683. The reversal of 133465013240634 is 436042310564331.

133465013240634 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 6 + 5 + 0 + 1 + 3 + 2 + 4 + 0 + 634 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 133465013240634.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2846314 + ... + 16584074.

It is an arithmetic number, because the mean of its divisors is an integer number (2587164028650).

Almost surely, 2133465013240634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133465013240634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165578497833600).

133465013240634 is an abundant number, since it is smaller than the sum of its proper divisors (197691982426566).

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

133465013240634 is a wasteful number, since it uses less digits than its factorization.

133465013240634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13738365 (or 13738359 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 133465013240634 in words is "one hundred thirty-three trillion, four hundred sixty-five billion, thirteen million, two hundred forty thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 306 323 342 459 513 557 646 918 969 1026 1114 1671 1938 2907 3342 5013 5814 8721 9469 10026 10583 15039 17442 18938 21166 28407 30078 31749 56814 63498 85221 95247 170442 179911 190494 255663 285741 359822 511326 539733 571482 1079466 1619199 3238398 4857597 9715194 13737761 27475522 41213283 82426566 123639849 233541937 247279698 261017459 370919547 467083874 522034918 700625811 741839094 783052377 1401251622 1566104754 2101877433 2349157131 4203754866 4437296803 4698314262 6305632299 7047471393 7651932877 8874593606 12611264598 13311890409 14094942786 15303865754 22955798631 26623780818 39935671227 45911597262 68867395893 79871342454 119807013681 130082858909 137734791786 145386724663 206602187679 239614027362 260165717818 290773449326 390248576727 413204375358 436160173989 780497153454 872320347978 1170745730181 1308480521967 2341491460362 2471574319271 2616961043934 3512237190543 3925441565901 4943148638542 7024474381086 7414722957813 7850883131802 14829445915626 22244168873439 44488337746878 66732506620317 133465013240634