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644969016 = 233273277443
BaseRepresentation
bin100110011100010…
…111001000111000
31122221121211011100
4212130113020320
52310103002031
6143555531400
721661101066
oct4634271070
91587554140
10644969016
1130108284a
1215bbb9b60
13a3812093
1461931036
153b951de6
hex26717238

644969016 has 96 divisors (see below), whose sum is σ = 1781123760. Its totient is φ = 210802176.

The previous prime is 644969009. The next prime is 644969029. The reversal of 644969016 is 610969446.

644969016 is a `hidden beast` number, since 64 + 496 + 90 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1455691 + ... + 1456133.

Almost surely, 2644969016 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 644969016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890561880).

644969016 is an abundant number, since it is smaller than the sum of its proper divisors (1136154744).

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

644969016 is a wasteful number, since it uses less digits than its factorization.

644969016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 798 counting only the distinct ones).

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

The square root of 644969016 is about 25396.2401941705. The cubic root of 644969016 is about 863.9984246370.

The spelling of 644969016 in words is "six hundred forty-four million, nine hundred sixty-nine thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 277 292 438 443 554 584 657 831 876 886 1108 1314 1329 1662 1752 1772 2216 2493 2628 2658 3324 3544 3987 4986 5256 5316 6648 7974 9972 10632 15948 19944 20221 31896 32339 40442 60663 64678 80884 97017 121326 122711 129356 161768 181989 194034 242652 245422 258712 291051 363978 368133 388068 485304 490844 582102 727956 736266 776136 981688 1104399 1164204 1455912 1472532 2208798 2328408 2945064 4417596 8835192 8957903 17915806 26873709 35831612 53747418 71663224 80621127 107494836 161242254 214989672 322484508 644969016