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65240993735064 = 23327224239762917
BaseRepresentation
bin11101101010110000110100…
…10000011010000110011000
322112222222102000201211121200
432311120122100122012120
532022402023344010224
6350431144311034200
716512335433564300
oct1665303220320630
9275888360654550
1065240993735064
1119873606152754
12739818496b960
132a53278b69894
141217976728600
157821045c55c9
hex3b561a41a198

65240993735064 has 144 divisors (see below), whose sum is σ = 205551165736800. Its totient is φ = 18639490472064.

The previous prime is 65240993734997. The next prime is 65240993735083. The reversal of 65240993735064 is 46053739904256.

65240993735064 is a `hidden beast` number, since 6 + 5 + 2 + 4 + 0 + 99 + 37 + 3 + 506 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 65240993734992 and 65240993735010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85133734 + ... + 85896650.

It is an arithmetic number, because the mean of its divisors is an integer number (1427438650950).

Almost surely, 265240993735064 is an apocalyptic number.

It is an amenable number.

65240993735064 is an abundant number, since it is smaller than the sum of its proper divisors (140310172001736).

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

65240993735064 is a wasteful number, since it uses less digits than its factorization.

65240993735064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787182 (or 787168 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 65240993735064 in words is "sixty-five trillion, two hundred forty billion, nine hundred ninety-three million, seven hundred thirty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 24239 48478 72717 96956 145434 169673 193912 218151 290868 339346 436302 509019 581736 678692 762917 872604 1018038 1187711 1357384 1525834 1527057 1745208 2036076 2288751 2375422 3051668 3054114 3563133 4072152 4577502 4750844 5340419 6103336 6108228 6866253 7126266 9155004 9501688 10680838 10689399 12216456 13732506 14252532 16021257 18310008 21361676 21378798 27465012 28505064 32042514 37382933 42723352 42757596 48063771 54930024 64085028 74765866 85515192 96127542 112148799 128170056 149531732 192255084 224297598 299063464 336446397 384510168 448595196 672892794 897190392 1345785588 2691571176 18492345163 36984690326 55477035489 73969380652 110954070978 129446416141 147938761304 166431106467 221908141956 258892832282 332862212934 388339248423 443816283912 517785664564 665724425868 776678496846 906124912987 1035571329128 1165017745269 1331448851736 1553356993692 1812249825974 2330035490538 2718374738961 3106713987384 3624499651948 4660070981076 5436749477922 7248999303896 8155124216883 9320141962152 10873498955844 16310248433766 21746997911688 32620496867532 65240993735064