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11657235265 = 5131657108233
BaseRepresentation
bin10101101101101001…
…10100101101000001
31010002102010220112021
422312310310231001
5142333223012030
65204423001441
7561606602434
oct126664645501
933072126467
1011657235265
114a42229435
122313b99281
13113a142960
147c82b581b
1548361597a
hex2b6d34b41

11657235265 has 16 divisors (see below), whose sum is σ = 15073965648. Its totient is φ = 8603145216.

The previous prime is 11657235259. The next prime is 11657235269. The reversal of 11657235265 is 56253275611.

11657235265 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 8 ways, for example, as 643992129 + 11013243136 = 25377^2 + 104944^2 .

It is a cyclic number.

It is not a de Polignac number, because 11657235265 - 215 = 11657202497 is a prime.

It is a super-2 number, since 2×116572352652 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11657235269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53589 + ... + 161821.

It is an arithmetic number, because the mean of its divisors is an integer number (942122853).

Almost surely, 211657235265 is an apocalyptic number.

It is an amenable number.

11657235265 is a deficient number, since it is larger than the sum of its proper divisors (3416730383).

11657235265 is a wasteful number, since it uses less digits than its factorization.

11657235265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109908.

The product of its digits is 378000, while the sum is 43.

The spelling of 11657235265 in words is "eleven billion, six hundred fifty-seven million, two hundred thirty-five thousand, two hundred sixty-five".

Divisors: 1 5 13 65 1657 8285 21541 107705 108233 541165 1407029 7035145 179342081 896710405 2331447053 11657235265