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23128658417 = 241223742901
BaseRepresentation
bin10101100010100100…
…110101000111110001
32012200212122120202102
4111202210311013301
5334331414032132
614343011230145
71446102232004
oct254244650761
965625576672
1023128658417
119899585437
1245958a8355
1322479280c7
141195a1d53b
15905775c62
hex5629351f1

23128658417 has 8 divisors (see below), whose sum is σ = 23235551592. Its totient is φ = 23021856000.

The previous prime is 23128658407. The next prime is 23128658429. The reversal of 23128658417 is 71485682132.

It can be written as a sum of positive squares in 4 ways, for example, as 12632860816 + 10495797601 = 112396^2 + 102449^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 23128658417 - 26 = 23128658353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23128658407) 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 7 ways as a sum of consecutive naturals, for example, 517667 + ... + 560567.

It is an arithmetic number, because the mean of its divisors is an integer number (2904443949).

Almost surely, 223128658417 is an apocalyptic number.

It is an amenable number.

23128658417 is a deficient number, since it is larger than the sum of its proper divisors (106893175).

23128658417 is a wasteful number, since it uses less digits than its factorization.

23128658417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45379.

The product of its digits is 645120, while the sum is 47.

The spelling of 23128658417 in words is "twenty-three billion, one hundred twenty-eight million, six hundred fifty-eight thousand, four hundred seventeen".

Divisors: 1 241 2237 42901 539117 10339141 95969537 23128658417