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65683531872 = 2532773344449
BaseRepresentation
bin111101001011000010…
…110010100001100000
320021112121011010202200
4331023002302201200
52034004441004442
650101414013200
74513461544320
oct751302624140
9207477133680
1065683531872
1125946706742
1210891347200
13626a0b04ba
143271643280
151a966c734c
hexf4b0b2860

65683531872 has 144 divisors (see below), whose sum is σ = 213767517600. Its totient is φ = 18740699136.

The previous prime is 65683531853. The next prime is 65683531889. The reversal of 65683531872 is 27813538656.

65683531872 is a `hidden beast` number, since 6 + 568 + 3 + 5 + 3 + 1 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 1455504 + ... + 1499952.

It is an arithmetic number, because the mean of its divisors is an integer number (1484496650).

Almost surely, 265683531872 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 65683531872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106883758800).

65683531872 is an abundant number, since it is smaller than the sum of its proper divisors (148083985728).

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

65683531872 is a wasteful number, since it uses less digits than its factorization.

65683531872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45205 (or 45194 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 65683531872 in words is "sixty-five billion, six hundred eighty-three million, five hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 733 1008 1466 2016 2199 2932 4398 5131 5864 6597 8796 10262 11728 13194 15393 17592 20524 23456 26388 30786 35184 41048 44449 46179 52776 61572 70368 82096 88898 92358 105552 123144 133347 164192 177796 184716 211104 246288 266694 311143 355592 369432 400041 492576 533388 622286 711184 738864 800082 933429 1066776 1244572 1422368 1477728 1600164 1866858 2133552 2489144 2800287 3200328 3733716 4267104 4978288 5600574 6400656 7467432 9956576 11201148 12801312 14934864 22402296 29869728 32581117 44804592 65162234 89609184 97743351 130324468 195486702 228067819 260648936 293230053 390973404 456135638 521297872 586460106 684203457 781946808 912271276 1042595744 1172920212 1368406914 1563893616 1824542552 2052610371 2345840424 2736813828 3127787232 3649085104 4105220742 4691680848 5473627656 7298170208 8210441484 9383361696 10947255312 16420882968 21894510624 32841765936 65683531872