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66007213939872 = 25321058921644321
BaseRepresentation
bin11110000001000100000001…
…00010100001110010100000
322122201020011020020011222200
433000202000202201302200
532122430233232033442
6352215143453133200
716621602203062362
oct1700420042416240
9278636136204880
1066007213939872
111a039558512337
1274a078248a200
132aaa5b863c45a
141242aa2652d32
15796eec01434c
hex3c08808a1ca0

66007213939872 has 72 divisors (see below), whose sum is σ = 187725750013620. Its totient is φ = 22000325775360.

The previous prime is 66007213939871. The next prime is 66007213939879. The reversal of 66007213939872 is 27893931270066.

66007213939872 is a `hidden beast` number, since 6 + 600 + 7 + 2 + 13 + 9 + 3 + 9 + 8 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60374205367056 + 5633008572816 = 7770084^2 + 2373396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (66007213939871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7772529 + ... + 13871792.

Almost surely, 266007213939872 is an apocalyptic number.

It is an amenable number.

66007213939872 is an abundant number, since it is smaller than the sum of its proper divisors (121718536073748).

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

66007213939872 is a wasteful number, since it uses less digits than its factorization.

66007213939872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21654926 (or 21654915 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 66007213939872 in words is "sixty-six trillion, seven billion, two hundred thirteen million, nine hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 10589 21178 31767 42356 63534 84712 95301 127068 169424 190602 254136 338848 381204 508272 762408 1016544 1524816 3049632 21644321 43288642 64932963 86577284 129865926 173154568 194798889 259731852 346309136 389597778 519463704 692618272 779195556 1038927408 1558391112 2077854816 3116782224 6233564448 229191715069 458383430138 687575145207 916766860276 1375150290414 1833533720552 2062725435621 2750300580828 3667067441104 4125450871242 5500601161656 7334134882208 8250901742484 11001202323312 16501803484968 22002404646624 33003606969936 66007213939872