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664316016 = 243713211699
BaseRepresentation
bin100111100110001…
…010100001110000
31201022000202020220
4213212022201300
52330031103031
6145530333040
722314410250
oct4746124160
91638022226
10664316016
11310a97501
1216658a180
13a7827200
1464329960
153d4c4596
hex2798a870

664316016 has 120 divisors (see below), whose sum is σ = 2123971200. Its totient is φ = 175189248.

The previous prime is 664316011. The next prime is 664316041. The reversal of 664316016 is 610613466.

It is a super-2 number, since 2×6643160162 = 882631538228224512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664316011) 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 23 ways as a sum of consecutive naturals, for example, 50935 + ... + 62633.

It is an arithmetic number, because the mean of its divisors is an integer number (17699760).

Almost surely, 2664316016 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 664316016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061985600).

664316016 is an abundant number, since it is smaller than the sum of its proper divisors (1459655184).

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

664316016 is a wasteful number, since it uses less digits than its factorization.

664316016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11743 (or 11724 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 664316016 is about 25774.3286236519. The cubic root of 664316016 is about 872.5525143609.

The spelling of 664316016 in words is "six hundred sixty-four million, three hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 169 182 208 273 312 336 338 364 507 546 624 676 728 1014 1092 1183 1352 1456 2028 2184 2366 2704 3549 4056 4368 4732 7098 8112 9464 11699 14196 18928 23398 28392 35097 46796 56784 70194 81893 93592 140388 152087 163786 187184 245679 280776 304174 327572 456261 491358 561552 608348 655144 912522 982716 1064609 1216696 1310288 1825044 1965432 1977131 2129218 2433392 3193827 3650088 3930864 3954262 4258436 5931393 6387654 7300176 7908524 8516872 11862786 12775308 13839917 15817048 17033744 23725572 25550616 27679834 31634096 41519751 47451144 51101232 55359668 83039502 94902288 110719336 166079004 221438672 332158008 664316016