Search a number
-
+
65208813264 = 2433779272959
BaseRepresentation
bin111100101110101111…
…111000011011010000
320020022111212221021000
4330232233320123100
52032021424011024
645542335102000
74465635524130
oct745657703320
9206274787230
1065208813264
1125722747611
121077a371900
1361c293a70a
14322858cac0
151a69ba4cc9
hexf2ebf86d0

65208813264 has 160 divisors (see below), whose sum is σ = 216621056000. Its totient is φ = 18395185536.

The previous prime is 65208813233. The next prime is 65208813281. The reversal of 65208813264 is 46231880256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102417 + ... + 375375.

It is an arithmetic number, because the mean of its divisors is an integer number (1353881600).

Almost surely, 265208813264 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 65208813264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108310528000).

65208813264 is an abundant number, since it is smaller than the sum of its proper divisors (151412242736).

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

65208813264 is a wasteful number, since it uses less digits than its factorization.

65208813264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273062 (or 273050 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 65208813264 in words is "sixty-five billion, two hundred eight million, eight hundred thirteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 79 84 108 112 126 144 158 168 189 216 237 252 316 336 378 432 474 504 553 632 711 756 948 1008 1106 1264 1422 1512 1659 1896 2133 2212 2844 3024 3318 3792 4266 4424 4977 5688 6636 8532 8848 9954 11376 13272 14931 17064 19908 26544 29862 34128 39816 59724 79632 119448 238896 272959 545918 818877 1091836 1637754 1910713 2183672 2456631 3275508 3821426 4367344 4913262 5732139 6551016 7369893 7642852 9826524 11464278 13102032 14739786 15285704 17196417 19653048 21563761 22928556 29479572 30571408 34392834 39306096 43127522 45857112 51589251 58959144 64691283 68785668 86255044 91714224 103178502 117918288 129382566 137571336 150946327 172510088 194073849 206357004 258765132 275142672 301892654 345020176 388147698 412714008 452838981 517530264 582221547 603785308 776295396 825428016 905677962 1035060528 1164443094 1207570616 1358516943 1552590792 1811355924 2328886188 2415141232 2717033886 3105181584 3622711848 4075550829 4657772376 5434067772 7245423696 8151101658 9315544752 10868135544 16302203316 21736271088 32604406632 65208813264