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16258085261 = 112134364341
BaseRepresentation
bin11110010010000111…
…01011000110001101
31112222001110022012222
433021003223012031
5231244032212021
611245135105125
71113614305325
oct171103530615
945861408188
1016258085261
1169932a1100
1231989721a5
1316c1399ac2
14b03354285
156524c56ab
hex3c90eb18d

16258085261 has 6 divisors (see below), whose sum is σ = 17870457486. Its totient is φ = 14780077400.

The previous prime is 16258085219. The next prime is 16258085287.

16258085261 is nontrivially palindromic in base 10.

16258085261 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 only one way, i.e., 14814541225 + 1443544036 = 121715^2 + 37994^2 .

It is a de Polignac number, because none of the positive numbers 2k-16258085261 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16258015261) 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 5 ways as a sum of consecutive naturals, for example, 67182050 + ... + 67182291.

It is an arithmetic number, because the mean of its divisors is an integer number (2978409581).

Almost surely, 216258085261 is an apocalyptic number.

16258085261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16258085261 is a deficient number, since it is larger than the sum of its proper divisors (1612372225).

16258085261 is a wasteful number, since it uses less digits than its factorization.

16258085261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134364363 (or 134364352 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

The spelling of 16258085261 in words is "sixteen billion, two hundred fifty-eight million, eighty-five thousand, two hundred sixty-one".

Divisors: 1 11 121 134364341 1478007751 16258085261