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66066056064 = 2732173373471
BaseRepresentation
bin111101100001110110…
…000000001110000000
320022112020221101022100
4331201312000032000
52040300402243224
650203400510400
74526115132231
oct754166001600
9208466841270
1066066056064
1126022625838
121097947b400
1362cb413588
1432aa379088
151aba087ac9
hexf61d80380

66066056064 has 96 divisors (see below), whose sum is σ = 201295074240. Its totient is φ = 20726599680.

The previous prime is 66066056053. The next prime is 66066056101. The reversal of 66066056064 is 46065066066.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1667152 + ... + 1706319.

It is an arithmetic number, because the mean of its divisors is an integer number (2096823690).

Almost surely, 266066056064 is an apocalyptic number.

66066056064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66066056064 is an abundant number, since it is smaller than the sum of its proper divisors (135229018176).

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

66066056064 is a wasteful number, since it uses less digits than its factorization.

66066056064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373508 (or 3373493 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 66066056064 in words is "sixty-six billion, sixty-six million, fifty-six thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 3373471 6746942 10120413 13493884 20240826 26987768 30361239 40481652 53975536 57349007 60722478 80963304 107951072 114698014 121444956 161926608 172047021 215902144 229396028 242889912 323853216 344094042 431804288 458792056 485779824 516141063 647706432 688188084 917584112 971559648 1032282126 1295412864 1376376168 1835168224 1943119296 2064564252 2752752336 3670336448 3886238592 4129128504 5505504672 7340672896 8258257008 11011009344 16516514016 22022018688 33033028032 66066056064