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664583778368 = 26411381183397
BaseRepresentation
bin10011010101111000100…
…01111011000001000000
32100112101222121221001122
421222330101323001000
541342031421401433
61225150000451412
766005001624026
oct11527421730100
92315358557048
10664583778368
11236937243144
12a8973919b68
134a892c45293
1424247810716
1512449c0c198
hex9abc47b040

664583778368 has 56 divisors (see below), whose sum is σ = 1351934496024. Its totient is φ = 323950694400.

The previous prime is 664583778367. The next prime is 664583778373. The reversal of 664583778368 is 863877385466.

It can be written as a sum of positive squares in 4 ways, for example, as 9079802944 + 655503975424 = 95288^2 + 809632^2 .

It is a super-3 number, since 3×6645837783683 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (664583778367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3532046 + ... + 3715442.

It is an arithmetic number, because the mean of its divisors is an integer number (24141687429).

Almost surely, 2664583778368 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 664583778368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675967248012).

664583778368 is an abundant number, since it is smaller than the sum of its proper divisors (687350717656).

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

664583778368 is a wasteful number, since it uses less digits than its factorization.

664583778368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184831 (or 184821 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 71.

The spelling of 664583778368 in words is "six hundred sixty-four billion, five hundred eighty-three million, seven hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 1381 2624 2762 5524 11048 22096 44192 56621 88384 113242 183397 226484 366794 452968 733588 905936 1467176 1811872 2934352 3623744 5868704 7519277 11737408 15038554 30077108 60154216 120308432 240616864 253271257 481233728 506542514 1013085028 2026170056 4052340112 8104680224 10384121537 16209360448 20768243074 41536486148 83072972296 166145944592 332291889184 664583778368