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465342565243564 = 227313781114343281
BaseRepresentation
bin110100111001110100000001…
…0010011001101101010101100
32021000122022111110201012101201
41221303220002103031222230
5441443133033200243224
64325411231232015244
7200005614366231601
oct15163500223155254
92230568443635351
10465342565243564
111252aa745695aa8
124423660b691524
1316c86800665648
1482ca9b39cc6a8
1538be9648b0a44
hex1a73a024cdaac

465342565243564 has 48 divisors (see below), whose sum is σ = 832555918436256. Its totient is φ = 227528024371200.

The previous prime is 465342565243559. The next prime is 465342565243571.

465342565243564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 465342565243496 and 465342565243505.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25271604 + ... + 39614884.

It is an arithmetic number, because the mean of its divisors is an integer number (17344914967422).

Almost surely, 2465342565243564 is an apocalyptic number.

It is an amenable number.

465342565243564 is a deficient number, since it is larger than the sum of its proper divisors (367213353192692).

465342565243564 is a wasteful number, since it uses less digits than its factorization.

465342565243564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14344306 (or 14344304 counting only the distinct ones).

The product of its digits is 1244160000, while the sum is 64.

The spelling of 465342565243564 in words is "four hundred sixty-five trillion, three hundred forty-two billion, five hundred sixty-five million, two hundred forty-three thousand, five hundred sixty-four".

Divisors: 1 2 4 73 137 146 274 292 548 811 1622 3244 10001 20002 40004 59203 111107 118406 222214 236812 444428 8110811 14343281 16221622 28686562 32443244 57373124 1047059513 1965029497 2094119026 3930058994 4188238052 7860117988 11632400891 23264801782 46529603564 143447153281 286894306562 573788613124 849165265043 1593638922067 1698330530086 3187277844134 3396661060172 6374555688268 116335641310891 232671282621782 465342565243564