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13742883495 = 3351139723311
BaseRepresentation
bin11001100110010001…
…11100001010100111
31022110202122211001000
430303020330022213
5211121134232440
610151405404343
7664363403505
oct146310741247
938422584030
1013742883495
115912554860
1227b65696b3
1313b0277233
149452a7675
15556795730
hex33323c2a7

13742883495 has 64 divisors (see below), whose sum is σ = 26721146880. Its totient is φ = 6646147200.

The previous prime is 13742883491. The next prime is 13742883523. The reversal of 13742883495 is 59438824731.

It is a happy number.

13742883495 is a `hidden beast` number, since 1 + 3 + 74 + 2 + 8 + 83 + 495 = 666.

13742883495 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 13742883495 - 22 = 13742883491 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13742883491) 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 63 ways as a sum of consecutive naturals, for example, 577890 + ... + 601200.

It is an arithmetic number, because the mean of its divisors is an integer number (417517920).

Almost surely, 213742883495 is an apocalyptic number.

13742883495 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13742883495 is a deficient number, since it is larger than the sum of its proper divisors (12978263385).

13742883495 is a wasteful number, since it uses less digits than its factorization.

13742883495 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23733 (or 23727 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 13742883495 in words is "thirteen billion, seven hundred forty-two million, eight hundred eighty-three thousand, four hundred ninety-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 397 495 1191 1485 1985 3573 4367 5955 10719 13101 17865 21835 23311 39303 53595 65505 69933 116555 117909 196515 209799 256421 349665 589545 629397 769263 1048995 1282105 2307789 3146985 3846315 6923367 9254467 11538945 27763401 34616835 46272335 83290203 101799137 138817005 249870609 305397411 416451015 508995685 916192233 1249353045 1526987055 2748576699 4580961165 13742883495