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5648558465 = 511172477561
BaseRepresentation
bin1010100001010111…
…00010100110000001
3112120122202111112002
411100223202212001
543032012332330
62332300113345
7256655645324
oct52053424601
915518674462
105648558465
112439511640
121117835855
136c03296b4
143b82887bb
15230d66e45
hex150ae2981

5648558465 has 48 divisors (see below), whose sum is σ = 8023221504. Its totient is φ = 3783628800.

The previous prime is 5648558441. The next prime is 5648558473.

5648558465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5648558465 - 228 = 5380123009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5648558465.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 743285 + ... + 750845.

It is an arithmetic number, because the mean of its divisors is an integer number (167150448).

Almost surely, 25648558465 is an apocalyptic number.

5648558465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5648558465 is a deficient number, since it is larger than the sum of its proper divisors (2374663039).

5648558465 is a wasteful number, since it uses less digits than its factorization.

5648558465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7658 (or 7641 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 56.

The square root of 5648558465 is about 75156.8923319745. The cubic root of 5648558465 is about 1780.9260073656.

The spelling of 5648558465 in words is "five billion, six hundred forty-eight million, five hundred fifty-eight thousand, four hundred sixty-five".

Divisors: 1 5 11 17 47 55 85 187 235 289 517 799 935 1445 2585 3179 3995 7561 8789 13583 15895 37805 43945 67915 83171 128537 149413 355367 415855 642685 747065 1413907 1776835 2185129 3909037 6041239 7069535 10925645 19545185 24036419 30206195 66453629 102701063 120182095 332268145 513505315 1129711693 5648558465