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766480678033 = 7223229569873
BaseRepresentation
bin10110010011101011100…
…11101111110010010001
32201021102100121202110111
423021311303233302101
5100024223023144113
61344041045001321
7106243051160200
oct13116563576221
92637370552414
10766480678033
112760763a7014
121046709b3241
1357381741355
142915276d237
1514e1074113d
hexb275cefc91

766480678033 has 18 divisors (see below), whose sum is σ = 932071998354. Its totient is φ = 628418919744.

The previous prime is 766480678027. The next prime is 766480678063. The reversal of 766480678033 is 330876084667.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 579192536209 + 187288141824 = 761047^2 + 432768^2 .

It is not a de Polignac number, because 766480678033 - 213 = 766480669841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (766480678063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14759016 + ... + 14810857.

Almost surely, 2766480678033 is an apocalyptic number.

It is an amenable number.

766480678033 is a deficient number, since it is larger than the sum of its proper divisors (165591320321).

766480678033 is a wasteful number, since it uses less digits than its factorization.

766480678033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29569933 (or 29569903 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 58.

The spelling of 766480678033 in words is "seven hundred sixty-six billion, four hundred eighty million, six hundred seventy-eight thousand, thirty-three".

Divisors: 1 7 23 49 161 529 1127 3703 25921 29569873 206989111 680107079 1448923777 4760749553 15642462817 33325246871 109497239719 766480678033