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55525652400 = 24352232011799
BaseRepresentation
bin110011101101100101…
…100011011110110000
312022022200022101201110
4303231211203132300
51402204031334100
641301431233320
74003656154341
oct635545433660
9168280271643
1055525652400
1121603868529
12a917518840
13530b79582a
14298a5440c8
15169ea30250
hexced9637b0

55525652400 has 120 divisors (see below), whose sum is σ = 185600620800. Its totient is φ = 14163057920.

The previous prime is 55525652389. The next prime is 55525652437. The reversal of 55525652400 is 425652555.

It is a tau number, because it is divible by the number of its divisors (120).

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, 978300 + ... + 1033499.

It is an arithmetic number, because the mean of its divisors is an integer number (1546671840).

Almost surely, 255525652400 is an apocalyptic number.

55525652400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55525652400 is an abundant number, since it is smaller than the sum of its proper divisors (130074968400).

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

55525652400 is a wasteful number, since it uses less digits than its factorization.

55525652400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011843 (or 2011832 counting only the distinct ones).

The product of its (nonzero) digits is 300000, while the sum is 39.

The spelling of 55525652400 in words is "fifty-five billion, five hundred twenty-five million, six hundred fifty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 138 150 184 200 230 240 276 300 345 368 400 460 552 575 600 690 920 1104 1150 1200 1380 1725 1840 2300 2760 3450 4600 5520 6900 9200 13800 27600 2011799 4023598 6035397 8047196 10058995 12070794 16094392 20117990 24141588 30176985 32188784 40235980 46271377 48283176 50294975 60353970 80471960 92542754 96566352 100589950 120707940 138814131 150884925 160943920 185085508 201179900 231356885 241415880 277628262 301769850 370171016 402359800 462713770 482831760 555256524 603539700 694070655 740342032 804719600 925427540 1110513048 1156784425 1207079400 1388141310 1850855080 2221026096 2313568850 2414158800 2776282620 3470353275 3701710160 4627137700 5552565240 6940706550 9254275400 11105130480 13881413100 18508550800 27762826200 55525652400