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55178288947680 = 2535247607464263
BaseRepresentation
bin11001000101111001100100…
…10011111110000111100000
321020100222210211101100021120
430202330302103332013200
524213020113432311210
6313204320032452240
714423333303266533
oct1442746223760740
9236328724340246
1055178288947680
1116643a876858a8
126231b093aa080
1324a33a0ab2692
14d8a901828a1a
1565a4a9751270
hex322f324fe1e0

55178288947680 has 96 divisors (see below), whose sum is σ = 173812686534144. Its totient is φ = 14714119266816.

The previous prime is 55178288947679. The next prime is 55178288947687. The reversal of 55178288947680 is 8674988287155.

55178288947680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 74282092-1.

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

It is a junction number, because it is equal to n+sod(n) for n = 55178288947596 and 55178288947605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55178288947687) by changing a digit.

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, 118619229 + ... + 119083491.

It is an arithmetic number, because the mean of its divisors is an integer number (1810548818064).

Almost surely, 255178288947680 is an apocalyptic number.

It is an amenable number.

55178288947680 is an abundant number, since it is smaller than the sum of its proper divisors (118634397586464).

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

55178288947680 is a wasteful number, since it uses less digits than its factorization.

55178288947680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711888 (or 711880 counting only the distinct ones).

The product of its (nonzero) digits is 2167603200, while the sum is 78.

The spelling of 55178288947680 in words is "fifty-five trillion, one hundred seventy-eight billion, two hundred eighty-eight million, nine hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 247607 464263 495214 742821 928526 990428 1238035 1392789 1485642 1857052 1980856 2321315 2476070 2785578 2971284 3714104 3714105 3961712 4642630 4952140 5571156 5942568 6963945 7428208 7428210 7923424 9285260 9904280 11142312 11885136 13927890 14856416 14856420 18570520 19808560 22284624 23770272 27855780 29712840 37141040 39617120 44569248 55711560 59425680 74282080 111423120 118851360 222846240 114954768641 229909537282 344864305923 459819074564 574773843205 689728611846 919638149128 1149547686410 1379457223692 1724321529615 1839276298256 2299095372820 2758914447384 3448643059230 3678552596512 4598190745640 5517828894768 6897286118460 9196381491280 11035657789536 13794572236920 18392762982560 27589144473840 55178288947680