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14580137353 = 292081241597
BaseRepresentation
bin11011001010000101…
…10011110110001001
31101122010002201102011
431211002303312021
5214330003343403
610410434535521
71024211060035
oct154502636611
941563081364
1014580137353
11620211aaa1
1229aaa375a1
1314b4871a12
149c456d1c5
155a502aa6d
hex3650b3d89

14580137353 has 8 divisors (see below), whose sum is σ = 15090211080. Its totient is φ = 14070551040.

The previous prime is 14580137321. The next prime is 14580137359. The reversal of 14580137353 is 35373108541.

It is a happy number.

14580137353 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 4 ways, for example, as 13337104 + 14566800249 = 3652^2 + 120693^2 .

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 14580137353 - 25 = 14580137321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14580137359) 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, 60450 + ... + 181147.

It is an arithmetic number, because the mean of its divisors is an integer number (1886276385).

Almost surely, 214580137353 is an apocalyptic number.

It is an amenable number.

14580137353 is a deficient number, since it is larger than the sum of its proper divisors (510073727).

14580137353 is a wasteful number, since it uses less digits than its factorization.

14580137353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243707.

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 14580137353 in words is "fourteen billion, five hundred eighty million, one hundred thirty-seven thousand, three hundred fifty-three".

Divisors: 1 29 2081 60349 241597 7006313 502763357 14580137353