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13247628093 = 327230039973
BaseRepresentation
bin11000101011001111…
…01100001100111101
31021012020202020100100
430111213230030331
5204112343044333
610030314351313
7646200660300
oct142547541475
937166666310
1013247628093
115688a39077
12269872b539
1313317938bb
148d95c8b37
15528068213
hex3159ec33d

13247628093 has 18 divisors (see below), whose sum is σ = 22259620734. Its totient is φ = 7570072944.

The previous prime is 13247628073. The next prime is 13247628137. The reversal of 13247628093 is 39082674231.

13247628093 is a `hidden beast` number, since 13 + 2 + 4 + 7 + 628 + 0 + 9 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12750248889 + 497379204 = 112917^2 + 22302^2 .

It is not a de Polignac number, because 13247628093 - 210 = 13247627069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13247628073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15019546 + ... + 15020427.

Almost surely, 213247628093 is an apocalyptic number.

It is an amenable number.

13247628093 is a deficient number, since it is larger than the sum of its proper divisors (9011992641).

13247628093 is a wasteful number, since it uses less digits than its factorization.

13247628093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30039993 (or 30039983 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13247628093 in words is "thirteen billion, two hundred forty-seven million, six hundred twenty-eight thousand, ninety-three".

Divisors: 1 3 7 9 21 49 63 147 441 30039973 90119919 210279811 270359757 630839433 1471958677 1892518299 4415876031 13247628093