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13428900727 = 112361786027
BaseRepresentation
bin11001000000110110…
…01100001101110111
31021122212211211122121
430200123030031313
5210000244310402
610100311540411
7653531526034
oct144033141567
937585754577
1013428900727
11577129a970
12272938a707
1313601c1b08
149156d438b
15538e23837
hex3206cc377

13428900727 has 16 divisors (see below), whose sum is σ = 15311607552. Its totient is φ = 11658243520.

The previous prime is 13428900721. The next prime is 13428900787. The reversal of 13428900727 is 72700982431.

13428900727 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-13428900727 is a prime.

It is a super-2 number, since 2×134289007272 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13428900721) 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 15 ways as a sum of consecutive naturals, for example, 113088 + ... + 199114.

It is an arithmetic number, because the mean of its divisors is an integer number (956975472).

Almost surely, 213428900727 is an apocalyptic number.

13428900727 is a deficient number, since it is larger than the sum of its proper divisors (1882706825).

13428900727 is a wasteful number, since it uses less digits than its factorization.

13428900727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86678.

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 13428900727 in words is "thirteen billion, four hundred twenty-eight million, nine hundred thousand, seven hundred twenty-seven".

Divisors: 1 11 23 253 617 6787 14191 86027 156101 946297 1978621 21764831 53078659 583865249 1220809157 13428900727