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6445560416 = 25297619127
BaseRepresentation
bin1100000000010111…
…10111001001100000
3121122012110101122212
412000023313021200
5101200030413131
62543330421252
7315504234221
oct60013671140
917565411585
106445560416
112808394a39
1212ba731828
137b949ca99
14452073248
1527aceaa2b
hex1802f7260

6445560416 has 48 divisors (see below), whose sum is σ = 13145963040. Its totient is φ = 3107220480.

The previous prime is 6445560413. The next prime is 6445560439. The reversal of 6445560416 is 6140655446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6445560413) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 701645 + ... + 710771.

It is an arithmetic number, because the mean of its divisors is an integer number (273874230).

Almost surely, 26445560416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6445560416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6572981520).

6445560416 is an abundant number, since it is smaller than the sum of its proper divisors (6700402624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6445560416 is a wasteful number, since it uses less digits than its factorization.

6445560416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9927 (or 9919 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The square root of 6445560416 is about 80284.2476205638. The cubic root of 6445560416 is about 1861.0308018135.

The spelling of 6445560416 in words is "six billion, four hundred forty-five million, five hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 761 928 1522 3044 6088 9127 12176 18254 22069 24352 36508 44138 73016 88276 146032 176552 264683 292064 353104 529366 706208 1058732 2117464 4234928 6945647 8469856 13891294 27782588 55565176 111130352 201423763 222260704 402847526 805695052 1611390104 3222780208 6445560416