Search a number
-
+
463305113561343 = 329107457769141619
BaseRepresentation
bin110100101010111111010000…
…0101101110110100011111111
32020202102112110221220202202010
41221111332200231312203333
5441211242333032430333
64321211233023302303
7166405455421541604
oct15125764055664377
92222375427822663
10463305113561343
111246946602a2029
1243b6777514a993
1316b6963bc97981
14825a13119c6ab
1538869689bd563
hex1a55fa0b768ff

463305113561343 has 64 divisors (see below), whose sum is σ = 647270471232000. Its totient is φ = 294400410845184.

The previous prime is 463305113561293. The next prime is 463305113561351. The reversal of 463305113561343 is 343165311503364.

It is not a de Polignac number, because 463305113561343 - 221 = 463305111464191 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 463305113561292 and 463305113561301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463305113561393) 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, 3271418988 + ... + 3271560606.

It is an arithmetic number, because the mean of its divisors is an integer number (10113601113000).

Almost surely, 2463305113561343 is an apocalyptic number.

463305113561343 is a deficient number, since it is larger than the sum of its proper divisors (183965357670657).

463305113561343 is a wasteful number, since it uses less digits than its factorization.

463305113561343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142984.

The product of its (nonzero) digits is 3499200, while the sum is 48.

The spelling of 463305113561343 in words is "four hundred sixty-three trillion, three hundred five billion, one hundred thirteen million, five hundred sixty-one thousand, three hundred forty-three".

Divisors: 1 3 29 87 107 321 457 769 1371 2307 3103 9309 13253 22301 39759 48899 66903 82283 141619 146697 246849 351433 424857 1054299 1418071 2386207 4106951 4254213 7158621 10191557 12320853 15153233 30574671 37603331 45459699 64719883 108905011 112809993 194159649 326715033 439443757 1090496599 1318331271 1876876607 3158245319 3271489797 5630629821 6925027481 9474735957 11652836177 20775082443 34958508531 49769590027 149308770081 200825796949 337932249133 602477390847 1013796747399 1443318110783 4329954332349 5325346132889 15976038398667 154435037853781 463305113561343