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13742360049 = 3118320812411
BaseRepresentation
bin11001100110001101…
…11100010111110001
31022110201200020000010
430303012330113301
5211121021010144
610151350245133
7664356063435
oct146306742761
938421606003
1013742360049
115912227560
1227b63567a9
1313b0122bc2
149451ac9c5
155566e05b9
hex3331bc5f1

13742360049 has 32 divisors (see below), whose sum is σ = 20247833088. Its totient is φ = 8220992000.

The previous prime is 13742360003. The next prime is 13742360053. The reversal of 13742360049 is 94006324731.

It is a cyclic number.

It is not a de Polignac number, because 13742360049 - 228 = 13473924593 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13742359989 and 13742360016.

It is not an unprimeable number, because it can be changed into a prime (13742364049) 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 31 ways as a sum of consecutive naturals, for example, 5698654 + ... + 5701064.

It is an arithmetic number, because the mean of its divisors is an integer number (632744784).

Almost surely, 213742360049 is an apocalyptic number.

It is an amenable number.

13742360049 is a deficient number, since it is larger than the sum of its proper divisors (6505473039).

13742360049 is a wasteful number, since it uses less digits than its factorization.

13742360049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4589.

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 13742360049 in words is "thirteen billion, seven hundred forty-two million, three hundred sixty thousand, forty-nine".

Divisors: 1 3 11 33 83 249 913 2081 2411 2739 6243 7233 22891 26521 68673 79563 172723 200113 518169 600339 1899953 2201243 5017291 5699859 6603729 15051873 55190201 165570603 416435153 1249305459 4580786683 13742360049