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13127041181544 = 2331759545324077
BaseRepresentation
bin1011111100000110000010…
…1000000110011101101000
31201110221012001220020000120
42333001200220012131220
53210033140020302134
643530251322003240
72523253214002023
oct277014050063550
951427161806016
1013127041181544
114201168586814
121580137646520
13742b4a866ca4
143354d05681ba
1517b6e788d649
hexbf060a06768

13127041181544 has 64 divisors (see below), whose sum is σ = 35337000254400. Its totient is φ = 4048485940224.

The previous prime is 13127041181519. The next prime is 13127041181599. The reversal of 13127041181544 is 44518114072131.

It is a junction number, because it is equal to n+sod(n) for n = 13127041181496 and 13127041181505.

It is an unprimeable number.

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, 272637967 + ... + 272686110.

It is an arithmetic number, because the mean of its divisors is an integer number (552140628975).

Almost surely, 213127041181544 is an apocalyptic number.

It is an amenable number.

13127041181544 is an abundant number, since it is smaller than the sum of its proper divisors (22209959072856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13127041181544 is a wasteful number, since it uses less digits than its factorization.

13127041181544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545324162 (or 545324158 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 13127041181544 in words is "thirteen trillion, one hundred twenty-seven billion, forty-one million, one hundred eighty-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 59 68 102 118 136 177 204 236 354 408 472 708 1003 1416 2006 3009 4012 6018 8024 12036 24072 545324077 1090648154 1635972231 2181296308 3271944462 4362592616 6543888924 9270509309 13087777848 18541018618 27811527927 32174120543 37082037236 55623055854 64348241086 74164074472 96522361629 111246111708 128696482172 193044723258 222492223416 257392964344 386089446516 546960049231 772178893032 1093920098462 1640880147693 2187840196924 3281760295386 4375680393848 6563520590772 13127041181544