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12158701746489 = 343874372
BaseRepresentation
bin1011000011101110101100…
…0110010011100100111001
31121001100201211102010210000
42300323223012103210321
53043202010121341424
641505344103143213
72363302651421034
oct260735306234471
947040654363700
1012158701746489
113968527182981
121444530744b09
136a27399b345c
143006acd0801b
151614209153c9
hexb0eeb193939

12158701746489 has 15 divisors (see below), whose sum is σ = 18163045785247. Its totient is φ = 8105780242728.

The previous prime is 12158701746479. The next prime is 12158701746493. The reversal of 12158701746489 is 98464710785121.

The square root of 12158701746489 is 3486933.

It is a perfect power (a square), and thus also a powerful number.

12158701746489 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 87 + 0 + 1 + 74 + 6 + 489 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5196006275625 + 6962695470864 = 2279475^2 + 2638692^2 .

It is not a de Polignac number, because 12158701746489 - 27 = 12158701746361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12158701746409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 31188679 + ... + 31576115.

Almost surely, 212158701746489 is an apocalyptic number.

12158701746489 is the 3486933-rd square number.

12158701746489 is the 1743467-th centered octagonal number.

It is an amenable number.

12158701746489 is a deficient number, since it is larger than the sum of its proper divisors (6004344038758).

12158701746489 is an frugal number, since it uses more digits than its factorization.

12158701746489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774886 (or 387440 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 12158701746489 in words is "twelve trillion, one hundred fifty-eight billion, seven hundred one million, seven hundred forty-six thousand, four hundred eighty-nine".

Divisors: 1 3 9 27 81 387437 1162311 3486933 10460799 31382397 150107428969 450322286907 1350966860721 4052900582163 12158701746489