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66084311800 = 23521325798899
BaseRepresentation
bin111101100010111011…
…101001001011111000
320022120112021212110201
4331202323221023320
52040320040434200
650205252051544
74526426245033
oct754273511370
9208515255421
1066084311800
1126031964621
1210983603bb4
136302135aa0
1432ac96c01a
151abb991c6a
hexf62ee92f8

66084311800 has 96 divisors (see below), whose sum is σ = 166110462000. Its totient is φ = 24305172480.

The previous prime is 66084311729. The next prime is 66084311869. The reversal of 66084311800 is 811348066.

It is a self number, because there is not a number n which added to its sum of digits gives 66084311800.

It is a congruent number.

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, 618751 + ... + 717649.

Almost surely, 266084311800 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 66084311800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83055231000).

66084311800 is an abundant number, since it is smaller than the sum of its proper divisors (100026150200).

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

66084311800 is a wasteful number, since it uses less digits than its factorization.

66084311800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99185 (or 99176 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

Adding to 66084311800 its reverse (811348066), we get a palindrome (66895659866).

The spelling of 66084311800 in words is "sixty-six billion, eighty-four million, three hundred eleven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 257 260 325 514 520 650 1028 1285 1300 2056 2570 2600 3341 5140 6425 6682 10280 12850 13364 16705 25700 26728 33410 51400 66820 83525 98899 133640 167050 197798 334100 395596 494495 668200 791192 988990 1285687 1977980 2472475 2571374 3955960 4944950 5142748 6428435 9889900 10285496 12856870 19779800 25417043 25713740 32142175 50834086 51427480 64284350 101668172 127085215 128568700 203336344 254170430 257137400 330421559 508340860 635426075 660843118 1016681720 1270852150 1321686236 1652107795 2541704300 2643372472 3304215590 5083408600 6608431180 8260538975 13216862360 16521077950 33042155900 66084311800