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11705050085 = 5371011813461
BaseRepresentation
bin10101110011010110…
…01110001111100101
31010012202010011010112
422321223032033211
5142432443100320
65213251502405
7563030166311
oct127153161745
933182104115
1011705050085
114a67217413
122327bb7a05
131147014551
147d07a0b41
1548790cec5
hex2b9ace3e5

11705050085 has 32 divisors (see below), whose sum is σ = 14653233504. Its totient is φ = 8968320000.

The previous prime is 11705050033. The next prime is 11705050121. The reversal of 11705050085 is 58005050711.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2173237924 + 9531812161 = 46618^2 + 97631^2 .

It is not a de Polignac number, because 11705050085 - 226 = 11637941221 is a prime.

It is a super-3 number, since 3×117050500853 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3380255 + ... + 3383715.

It is an arithmetic number, because the mean of its divisors is an integer number (457913547).

Almost surely, 211705050085 is an apocalyptic number.

It is an amenable number.

11705050085 is a deficient number, since it is larger than the sum of its proper divisors (2948183419).

11705050085 is a wasteful number, since it uses less digits than its factorization.

11705050085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785.

The product of its (nonzero) digits is 7000, while the sum is 32.

The spelling of 11705050085 in words is "eleven billion, seven hundred five million, fifty thousand, eighty-five".

Divisors: 1 5 37 101 181 185 505 905 3461 3737 6697 17305 18281 18685 33485 91405 128057 349561 626441 640285 676397 1747805 3132205 3381985 12933757 23178317 63270541 64668785 115891585 316352705 2341010017 11705050085