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13728292543 = 77143962921
BaseRepresentation
bin11001100100100010…
…10001111010111111
31022102202012112000101
430302101101322333
5211103420330133
610150124541531
7664125363340
oct146221217277
938382175011
1013728292543
115905299419
1227b16b18a7
1313aa238b34
1494338a0c7
1555536237d
hex332451ebf

13728292543 has 16 divisors (see below), whose sum is σ = 15946951680. Its totient is φ = 11574763200.

The previous prime is 13728292537. The next prime is 13728292549. The reversal of 13728292543 is 34529282731.

It is an interprime number because it is at equal distance from previous prime (13728292537) and next prime (13728292549).

It is a de Polignac number, because none of the positive numbers 2k-13728292543 is a prime.

It is a super-2 number, since 2×137282925432 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13728292493 and 13728292502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13728292549) 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 15 ways as a sum of consecutive naturals, for example, 186723 + ... + 249643.

It is an arithmetic number, because the mean of its divisors is an integer number (996684480).

Almost surely, 213728292543 is an apocalyptic number.

13728292543 is a deficient number, since it is larger than the sum of its proper divisors (2218659137).

13728292543 is an equidigital number, since it uses as much as digits as its factorization.

13728292543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63438.

The product of its digits is 725760, while the sum is 46.

The spelling of 13728292543 in words is "thirteen billion, seven hundred twenty-eight million, two hundred ninety-two thousand, five hundred forty-three".

Divisors: 1 7 71 439 497 3073 31169 62921 218183 440447 4467391 27622319 31271737 193356233 1961184649 13728292543