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780000585057 = 32611420766093
BaseRepresentation
bin10110101100110111010…
…10000110010101100001
32202120022120201012021200
423112123222012111201
5100234420122210212
61354154411311413
7110232066402561
oct13263352062541
92676276635250
10780000585057
11280883aa52a1
1210720474b569
1358727748135
1429a76192da1
151545263e6dc
hexb59ba86561

780000585057 has 12 divisors (see below), whose sum is σ = 1145137471764. Its totient is φ = 511475793120.

The previous prime is 780000585037. The next prime is 780000585227. The reversal of 780000585057 is 750585000087.

It is a happy number.

780000585057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 459065871936 + 320934713121 = 677544^2 + 566511^2 .

It is not a de Polignac number, because 780000585057 - 211 = 780000583009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (780000585017) 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, 710382498 + ... + 710383595.

It is an arithmetic number, because the mean of its divisors is an integer number (95428122647).

Almost surely, 2780000585057 is an apocalyptic number.

It is an amenable number.

780000585057 is a deficient number, since it is larger than the sum of its proper divisors (365136886707).

780000585057 is a wasteful number, since it uses less digits than its factorization.

780000585057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420766160 (or 1420766157 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 780000585057 in words is "seven hundred eighty billion, five hundred eighty-five thousand, fifty-seven".

Divisors: 1 3 9 61 183 549 1420766093 4262298279 12786894837 86666731673 260000195019 780000585057