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13468080735 = 335215346337
BaseRepresentation
bin11001000101100001…
…01001101001011111
31021202121120101112000
430202300221221133
5210040312040420
610104231413343
7654515540334
oct144260515137
937677511460
1013468080735
11579142043a
12273a524253
13136835c355
1491a9b298b
1553c5b2690
hex322c29a5f

13468080735 has 32 divisors (see below), whose sum is σ = 23954892480. Its totient is φ = 7179485184.

The previous prime is 13468080709. The next prime is 13468080757. The reversal of 13468080735 is 53708086431.

13468080735 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13468080735 - 219 = 13467556447 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 267487 + ... + 313823.

It is an arithmetic number, because the mean of its divisors is an integer number (748590390).

Almost surely, 213468080735 is an apocalyptic number.

13468080735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13468080735 is a deficient number, since it is larger than the sum of its proper divisors (10486811745).

13468080735 is a wasteful number, since it uses less digits than its factorization.

13468080735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48504 (or 48498 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13468080735 in words is "thirteen billion, four hundred sixty-eight million, eighty thousand, seven hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 2153 6459 10765 19377 32295 46337 58131 96885 139011 231685 290655 417033 695055 1251099 2085165 6255495 99763561 299290683 498817805 897872049 1496453415 2693616147 4489360245 13468080735