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13412373273 = 3213136184229
BaseRepresentation
bin11000111110111000…
…01001001100011001
31021121201202011020200
430133130021030121
5204432031421043
610054521412413
7653241202035
oct143734111431
937551664220
1013412373273
115762a31612
12272393a109
131359956160
149134311c5
1553775b7d3
hex31f709319

13412373273 has 24 divisors (see below), whose sum is σ = 20879269320. Its totient is φ = 8247605760.

The previous prime is 13412373259. The next prime is 13412373287. The reversal of 13412373273 is 37237321431.

13412373273 is a `hidden beast` number, since 1 + 3 + 4 + 12 + 373 + 273 = 666.

13412373273 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13412373259) and next prime (13412373287).

It can be written as a sum of positive squares in 4 ways, for example, as 795916944 + 12616456329 = 28212^2 + 112323^2 .

It is not a de Polignac number, because 13412373273 - 24 = 13412373257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13412373223) 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 23 ways as a sum of consecutive naturals, for example, 117123 + ... + 201351.

It is an arithmetic number, because the mean of its divisors is an integer number (869969555).

Almost surely, 213412373273 is an apocalyptic number.

13412373273 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13412373273 is a deficient number, since it is larger than the sum of its proper divisors (7466896047).

13412373273 is a wasteful number, since it uses less digits than its factorization.

13412373273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85609 (or 85606 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The spelling of 13412373273 in words is "thirteen billion, four hundred twelve million, three hundred seventy-three thousand, two hundred seventy-three".

Divisors: 1 3 9 13 39 117 1361 4083 12249 17693 53079 84229 159237 252687 758061 1094977 3284931 9854793 114635669 343907007 1031721021 1490263697 4470791091 13412373273