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51568616988384 = 2536161011443389
BaseRepresentation
bin10111011100110110000010…
…00110001101111011100000
320202120220121120202120110120
423232123001012031323200
523224400011422112014
6301402143503200240
713601465255010366
oct1356330106157340
9222526546676416
1051568616988384
1115482144998441
12594a4155a6080
1322a0b908a2b52
14ca3d11d1b636
155e6640ecdba9
hex2ee6c118dee0

51568616988384 has 96 divisors (see below), whose sum is σ = 137609407746720. Its totient is φ = 16904960256000.

The previous prime is 51568616988379. The next prime is 51568616988439. The reversal of 51568616988384 is 48388961686515.

51568616988384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35005762 + ... + 36449150.

It is an arithmetic number, because the mean of its divisors is an integer number (1433431330695).

Almost surely, 251568616988384 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 51568616988384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68804703873360).

51568616988384 is an abundant number, since it is smaller than the sum of its proper divisors (86040790758336).

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

51568616988384 is a wasteful number, since it uses less digits than its factorization.

51568616988384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449564 (or 1449556 counting only the distinct ones).

The product of its digits is 2388787200, while the sum is 78.

The spelling of 51568616988384 in words is "fifty-one trillion, five hundred sixty-eight billion, six hundred sixteen million, nine hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 6101 12202 18303 24404 36606 48808 73212 97616 146424 195232 292848 372161 585696 744322 1116483 1443389 1488644 2232966 2886778 2977288 4330167 4465932 5773556 5954576 8660334 8931864 11547112 11909152 17320668 17863728 23094224 34641336 35727456 46188448 69282672 88046729 138565344 176093458 264140187 352186916 528280374 704373832 1056560748 1408747664 2113121496 2817495328 4226242992 8452485984 8806116289 17612232578 26418348867 35224465156 52836697734 70448930312 105673395468 140897860624 211346790936 281795721248 422693581872 537173093629 845387163744 1074346187258 1611519280887 2148692374516 3223038561774 4297384749032 6446077123548 8594769498064 12892154247096 17189538996128 25784308494192 51568616988384