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53763073363464 = 233311011055967759
BaseRepresentation
bin11000011100101101100001…
…11000111100111000001000
321001100200220000120210011120
430032112300320330320020
524021323233240112324
6310202225343155240
714216153035304613
oct1416266070747010
9231320800523146
1053763073363464
1116148878349a23
1260437885a5b20
1323ccab3aa9c4a
14d3c20a51b17a
1563377a8e5179
hex30e5b0e3ce08

53763073363464 has 128 divisors (see below), whose sum is σ = 140132450304000. Its totient is φ = 17169335136000.

The previous prime is 53763073363457. The next prime is 53763073363537. The reversal of 53763073363464 is 46436337036735.

It is a junction number, because it is equal to n+sod(n) for n = 53763073363398 and 53763073363407.

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, 793411617 + ... + 793479375.

It is an arithmetic number, because the mean of its divisors is an integer number (1094784768000).

Almost surely, 253763073363464 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 53763073363464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70066225152000).

53763073363464 is an abundant number, since it is smaller than the sum of its proper divisors (86369376940536).

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

53763073363464 is a wasteful number, since it uses less digits than its factorization.

53763073363464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78459 (or 78455 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 60.

The spelling of 53763073363464 in words is "fifty-three trillion, seven hundred sixty-three billion, seventy-three million, three hundred sixty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 101 124 186 202 248 303 372 404 606 744 808 1212 2424 3131 6262 9393 10559 12524 18786 21118 25048 31677 37572 42236 63354 67759 75144 84472 126708 135518 203277 253416 271036 327329 406554 542072 654658 813108 981987 1066459 1309316 1626216 1963974 2100529 2132918 2618632 3199377 3927948 4201058 4265836 6301587 6398754 6843659 7855896 8402116 8531672 12603174 12797508 13687318 16804232 20530977 25206348 25595016 27374636 33060229 41061954 50412696 54749272 66120458 82123908 99180687 132240916 164247816 198361374 212153429 264481832 396722748 424306858 636460287 715467281 793445496 848613716 1272920574 1430934562 1697227432 2146401843 2545841148 2861869124 4292803686 5091682296 5723738248 8585607372 17171214744 22179485711 44358971422 66538457133 72262195381 88717942844 133076914266 144524390762 177435885688 216786586143 266153828532 289048781524 433573172286 532307657064 578097563048 867146344572 1734292689144 2240128056811 4480256113622 6720384170433 8960512227244 13440768340866 17921024454488 26881536681732 53763073363464