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13793396643 = 32132910737993
BaseRepresentation
bin11001101100010011…
…01000011110100011
31022121021201011001100
430312021220132203
5211222102143033
610200412205443
7665545636245
oct146611503643
938537634040
1013793396643
115939016064
12280b469883
1313ba882080
1494bc96095
1555ae22513
hex3362687a3

13793396643 has 48 divisors (see below), whose sum is σ = 22404301920. Its totient is φ = 8118738432.

The previous prime is 13793396633. The next prime is 13793396653. The reversal of 13793396643 is 34669339731.

13793396643 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 (13793396633) and next prime (13793396653).

It is not a de Polignac number, because 13793396643 - 213 = 13793388451 is a prime.

It is a super-2 number, since 2×137933966432 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13793396643.

It is not an unprimeable number, because it can be changed into a prime (13793396633) 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 47 ways as a sum of consecutive naturals, for example, 344055 + ... + 382047.

It is an arithmetic number, because the mean of its divisors is an integer number (466756290).

Almost surely, 213793396643 is an apocalyptic number.

13793396643 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13793396643 is a deficient number, since it is larger than the sum of its proper divisors (8610905277).

13793396643 is a wasteful number, since it uses less digits than its factorization.

13793396643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38148 (or 38145 counting only the distinct ones).

The product of its digits is 6613488, while the sum is 54.

The spelling of 13793396643 in words is "thirteen billion, seven hundred ninety-three million, three hundred ninety-six thousand, six hundred forty-three".

Divisors: 1 3 9 13 29 39 87 107 117 261 321 377 963 1131 1391 3103 3393 4173 9309 12519 27927 37993 40339 113979 121017 341937 363051 493909 1101797 1481727 3305391 4065251 4445181 9916173 12195753 14323361 36587259 42970083 52848263 117892279 128910249 158544789 353676837 475634367 1061030511 1532599627 4597798881 13793396643