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13738579811 = 1123531024579
BaseRepresentation
bin11001100101110001…
…00001011101100011
31022110110120011111022
430302320201131203
5211114034023221
610151133240055
7664312000355
oct146270413543
938413504438
1013738579811
1159100853a0
1227b503302b
1313ac3cb388
149448a70d5
155561e54ab
hex332e21763

13738579811 has 16 divisors (see below), whose sum is σ = 15934268160. Its totient is φ = 11721172320.

The previous prime is 13738579787. The next prime is 13738579837. The reversal of 13738579811 is 11897583731.

13738579811 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 13738579811 - 222 = 13734385507 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13738579871) 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, 498881 + ... + 525698.

It is an arithmetic number, because the mean of its divisors is an integer number (995891760).

Almost surely, 213738579811 is an apocalyptic number.

13738579811 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13738579811 is a deficient number, since it is larger than the sum of its proper divisors (2195688349).

13738579811 is a wasteful number, since it uses less digits than its factorization.

13738579811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024666.

The product of its digits is 1270080, while the sum is 53.

The spelling of 13738579811 in words is "thirteen billion, seven hundred thirty-eight million, five hundred seventy-nine thousand, eight hundred eleven".

Divisors: 1 11 23 53 253 583 1219 13409 1024579 11270369 23565317 54302687 259218487 597329557 1248961801 13738579811