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66688015760 = 2456113665577
BaseRepresentation
bin111110000110111010…
…100101110110010000
320101010121021012121122
4332012322211312100
52043034113001020
650345215341412
74550406531632
oct760672456620
9211117235548
1066688015760
1126311712313
1210b11821868
13639a22a572
143328bdaa52
151b04992125
hexf86ea5d90

66688015760 has 40 divisors (see below), whose sum is σ = 157591445496. Its totient is φ = 26237905920.

The previous prime is 66688015739. The next prime is 66688015783. The reversal of 66688015760 is 6751088666.

It can be written as a sum of positive squares in 4 ways, for example, as 1603842304 + 65084173456 = 40048^2 + 255116^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6827909 + ... + 6837668.

Almost surely, 266688015760 is an apocalyptic number.

It is an amenable number.

66688015760 is an abundant number, since it is smaller than the sum of its proper divisors (90903429736).

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

66688015760 is a wasteful number, since it uses less digits than its factorization.

66688015760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13665651 (or 13665645 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 66688015760 in words is "sixty-six billion, six hundred eighty-eight million, fifteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 13665577 27331154 54662308 68327885 109324616 136655770 218649232 273311540 546623080 833600197 1093246160 1667200394 3334400788 4168000985 6668801576 8336001970 13337603152 16672003940 33344007880 66688015760