Search a number
-
+
460302012050023 = 1113175910513053537
BaseRepresentation
bin110100010101001000110100…
…1111010101110101001100111
32020100210102221122121101121101
41220222101221322232221213
5440313042010041100043
64310551454115500531
7165645502651063453
oct15052215172565147
92210712848541541
10460302012050023
11123736a94831a60
12437617445b7747
13169ac3a7a30b90
148194a443d7663
1538337a1d3324d
hex1a2a469eaea67

460302012050023 has 64 divisors (see below), whose sum is σ = 582843699325440. Its totient is φ = 357043857408000.

The previous prime is 460302012049889. The next prime is 460302012050047. The reversal of 460302012050023 is 320050210203064.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-460302012050023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 460302012049973 and 460302012050000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460302012050053) 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, 149217111 + ... + 152270647.

It is an arithmetic number, because the mean of its divisors is an integer number (9106932801960).

Almost surely, 2460302012050023 is an apocalyptic number.

460302012050023 is a deficient number, since it is larger than the sum of its proper divisors (122541687275417).

460302012050023 is a wasteful number, since it uses less digits than its factorization.

460302012050023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054688.

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 460302012050023 its reverse (320050210203064), we get a palindrome (780352222253087).

The spelling of 460302012050023 in words is "four hundred sixty trillion, three hundred two billion, twelve million, fifty thousand, twenty-three".

Divisors: 1 11 13 17 59 143 187 221 649 767 1003 1051 2431 8437 11033 11561 13039 13663 17867 62009 143429 150293 196537 232271 682099 806117 1054153 2554981 3053537 8867287 11595683 13703989 33588907 39695981 51910129 150743879 180158683 436655791 571011419 674831677 1981745513 2342062879 3062697611 3209267387 7423148447 25762691669 33689673721 35301941257 39815068943 41720476031 54557545579 189346775833 437965758373 458925236341 600133001369 709248092527 2082814534163 2461508085829 3218895189161 7801729017797 27076588944119 35407847080771 41845637459093 460302012050023