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13892505757 = 1317312027807
BaseRepresentation
bin11001111000000111…
…01101000010011101
31022212012012102012021
430330003231002131
5211422440141012
610214312340141
71001161231144
oct147403550235
938765172167
1013892505757
115989a59219
1228386a4651
131405273210
1495b0d475b
1556499d007
hex33c0ed09d

13892505757 has 16 divisors (see below), whose sum is σ = 16352243712. Its totient is φ = 11680162560.

The previous prime is 13892505691. The next prime is 13892505779. The reversal of 13892505757 is 75750529831.

13892505757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13892505757 - 227 = 13758288029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13892505157) 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, 1007053 + ... + 1020754.

It is an arithmetic number, because the mean of its divisors is an integer number (1022015232).

Almost surely, 213892505757 is an apocalyptic number.

13892505757 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13892505757 is a deficient number, since it is larger than the sum of its proper divisors (2459737955).

13892505757 is a wasteful number, since it uses less digits than its factorization.

13892505757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027868.

The product of its (nonzero) digits is 2646000, while the sum is 52.

The spelling of 13892505757 in words is "thirteen billion, eight hundred ninety-two million, five hundred five thousand, seven hundred fifty-seven".

Divisors: 1 13 17 31 221 403 527 6851 2027807 26361491 34472719 62862017 448145347 817206221 1068654289 13892505757