Search a number
-
+
460263220023321 = 3211135945191341323
BaseRepresentation
bin110100010100110110110000…
…1101110111001000000011001
32020100122201211011120020221200
41220221231201232321000121
5440311423033311221241
64310522000532024413
7165642630442226631
oct15051554156710031
92210581734506850
10460263220023321
11123721598736160
1243756119162109
13169a8835005020
148192c044336c1
15383278140e4b6
hex1a29b61bb9019

460263220023321 has 96 divisors (see below), whose sum is σ = 794467278259200. Its totient is φ = 253069475160960.

The previous prime is 460263220023319. The next prime is 460263220023379. The reversal of 460263220023321 is 123320022362064.

460263220023321 is a `hidden beast` number, since 4 + 6 + 0 + 2 + 6 + 322 + 0 + 0 + 2 + 3 + 321 = 666.

It is not a de Polignac number, because 460263220023321 - 21 = 460263220023319 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (460263220023391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 342470566 + ... + 343811888.

It is an arithmetic number, because the mean of its divisors is an integer number (8275700815200).

Almost surely, 2460263220023321 is an apocalyptic number.

It is an amenable number.

460263220023321 is a deficient number, since it is larger than the sum of its proper divisors (334204058235879).

460263220023321 is a wasteful number, since it uses less digits than its factorization.

460263220023321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345931 (or 1345928 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 460263220023321 its reverse (123320022362064), we get a palindrome (583583242385385).

The spelling of 460263220023321 in words is "four hundred sixty trillion, two hundred sixty-three billion, two hundred twenty million, twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 11 13 33 39 59 99 117 143 177 429 531 649 767 1287 1947 2301 4519 5841 6903 8437 13557 25311 40671 49709 58747 75933 149127 176241 266621 447381 528723 646217 799863 1341323 1938651 2399589 2932831 3466073 4023969 5815953 8798493 10398219 12071907 14754553 17437199 26395479 31194657 38126803 44263659 52311597 79138057 114380409 132790977 156934791 191809189 237414171 343141227 575427567 712242513 870518627 1028794741 1726282701 2611555881 3086384223 6061438637 7834667643 9259152669 11316742151 18184315911 33950226453 54552947733 66675825007 78798702281 101850679359 200027475021 236396106843 357624879583 600082425063 709188320529 866785725091 1072874638749 2600357175273 3218623916247 3933873675413 4649123434579 7801071525819 11801621026239 13947370303737 35404863078717 41842110911211 51140357780369 153421073341107 460263220023321