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13393146546 = 2321357235669
BaseRepresentation
bin11000111100100101…
…10011001010110010
31021120101120100010200
430132102303022302
5204412121142141
610052553340030
7652615603323
oct143622631262
937511510120
1013393146546
11575309a25a
122719407616
1313559839b0
14910a6844a
15535c0eab6
hex31e4b32b2

13393146546 has 24 divisors (see below), whose sum is σ = 31250675820. Its totient is φ = 4120968096.

The previous prime is 13393146541. The next prime is 13393146563. The reversal of 13393146546 is 64564139331.

It is a happy number.

13393146546 is a `hidden beast` number, since 1 + 3 + 3 + 93 + 14 + 6 + 546 = 666.

13393146546 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 2 ways, for example, as 11350558521 + 2042588025 = 106539^2 + 45195^2 .

It is not an unprimeable number, because it can be changed into a prime (13393146541) 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 11 ways as a sum of consecutive naturals, for example, 28617601 + ... + 28618068.

Almost surely, 213393146546 is an apocalyptic number.

13393146546 is an abundant number, since it is smaller than the sum of its proper divisors (17857529274).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13393146546 is a wasteful number, since it uses less digits than its factorization.

13393146546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57235690 (or 57235687 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 13393146546 in words is "thirteen billion, three hundred ninety-three million, one hundred forty-six thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 57235669 114471338 171707007 343414014 515121021 744063697 1030242042 1488127394 2232191091 4464382182 6696573273 13393146546