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666419616 = 2533839293
BaseRepresentation
bin100111101110001…
…100000110100000
31201102222121212000
4213232030012200
52331100411431
6150043404000
722341321222
oct4756140640
91642877760
10666419616
113121a3a15
12167223600
13a80b2845
1464716412
153d78c9e6
hex27b8c1a0

666419616 has 96 divisors (see below), whose sum is σ = 1967353920. Its totient is φ = 219439872.

The previous prime is 666419609. The next prime is 666419639. The reversal of 666419616 is 616914666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 67066 + ... + 76358.

It is an arithmetic number, because the mean of its divisors is an integer number (20493270).

Almost surely, 2666419616 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 666419616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983676960).

666419616 is an abundant number, since it is smaller than the sum of its proper divisors (1300934304).

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

666419616 is a wasteful number, since it uses less digits than its factorization.

666419616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9395 (or 9381 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 666419616 is about 25815.1044158260. The cubic root of 666419616 is about 873.4725420859.

The spelling of 666419616 in words is "six hundred sixty-six million, four hundred nineteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 83 96 108 144 166 216 249 288 332 432 498 664 747 864 996 1328 1494 1992 2241 2656 2988 3984 4482 5976 7968 8964 9293 11952 17928 18586 23904 27879 35856 37172 55758 71712 74344 83637 111516 148688 167274 223032 250911 297376 334548 446064 501822 669096 771319 892128 1003644 1338192 1542638 2007288 2313957 2676384 3085276 4014576 4627914 6170552 6941871 8029152 9255828 12341104 13883742 18511656 20825613 24682208 27767484 37023312 41651226 55534968 74046624 83302452 111069936 166604904 222139872 333209808 666419616