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644735664 = 243219713319
BaseRepresentation
bin100110011011011…
…110001010110000
31122221011222001200
4212123132022300
52310023020124
6143550531200
721656106546
oct4633361260
91587158050
10644735664
11300a334a1
1215bb06b00
13a375cac1
14618add96
153b907bc9
hex266de2b0

644735664 has 120 divisors (see below), whose sum is σ = 1926662400. Its totient is φ = 200672640.

The previous prime is 644735647. The next prime is 644735671. The reversal of 644735664 is 466537446.

It is a happy number.

644735664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 192597 + ... + 195915.

It is an arithmetic number, because the mean of its divisors is an integer number (16055520).

Almost surely, 2644735664 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 644735664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963331200).

644735664 is an abundant number, since it is smaller than the sum of its proper divisors (1281926736).

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

644735664 is a wasteful number, since it uses less digits than its factorization.

644735664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3414 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 644735664 is about 25391.6455551821. The cubic root of 644735664 is about 863.8942128711.

The spelling of 644735664 in words is "six hundred forty-four million, seven hundred thirty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 71 72 76 114 142 144 152 171 213 228 284 304 342 426 456 568 639 684 852 912 1136 1278 1349 1368 1704 2556 2698 2736 3319 3408 4047 5112 5396 6638 8094 9957 10224 10792 12141 13276 16188 19914 21584 24282 26552 29871 32376 39828 48564 53104 59742 63061 64752 79656 97128 119484 126122 159312 189183 194256 235649 238968 252244 378366 471298 477936 504488 567549 706947 756732 942596 1008976 1135098 1413894 1513464 1885192 2120841 2270196 2827788 3026928 3770384 4241682 4477331 4540392 5655576 8483364 8954662 9080784 11311152 13431993 16966728 17909324 26863986 33933456 35818648 40295979 53727972 71637296 80591958 107455944 161183916 214911888 322367832 644735664