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766999930080385 = 51724137442027341
BaseRepresentation
bin1010111001100101010001011…
…0011000000000110010000001
310201120201110212212222220200001
42232121110112120000302001
51301013011324100033020
611315134523100400001
7320361626165501161
oct25631242630006201
93646643785886601
10766999930080385
11202431930979961
1272035884846001
1326bc8a244b8601
14d758dcd60c5a1
155da1665a2c50a
hex2b99516600c81

766999930080385 has 16 divisors (see below), whose sum is σ = 978584826610512. Its totient is φ = 575109539942400.

The previous prime is 766999930080253. The next prime is 766999930080401. The reversal of 766999930080385 is 583080039999667.

It can be written as a sum of positive squares in 8 ways, for example, as 7097711207409 + 759902218872976 = 2664153^2 + 27566324^2 .

It is not a de Polignac number, because 766999930080385 - 243 = 758203837058177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 766999930080299 and 766999930080308.

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 15 ways as a sum of consecutive naturals, for example, 18720993186 + ... + 18721034155.

It is an arithmetic number, because the mean of its divisors is an integer number (61161551663157).

Almost surely, 2766999930080385 is an apocalyptic number.

It is an amenable number.

766999930080385 is a deficient number, since it is larger than the sum of its proper divisors (211584896530127).

766999930080385 is a wasteful number, since it uses less digits than its factorization.

766999930080385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37442027604.

The product of its (nonzero) digits is 4761711360, while the sum is 82.

The spelling of 766999930080385 in words is "seven hundred sixty-six trillion, nine hundred ninety-nine billion, nine hundred thirty million, eighty thousand, three hundred eighty-five".

Divisors: 1 5 17 85 241 1205 4097 20485 37442027341 187210136705 636514464797 3182572323985 9023528589181 45117642945905 153399986016077 766999930080385