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131727571768715 = 5134172976773843
BaseRepresentation
bin11101111100111000110111…
…000111110101010110001011
3122021102000212222002002020212
4131330320313013311112023
5114231211031333044330
61144054451104311335
736514001012355416
oct3574706707652613
9567360788062225
10131727571768715
1138a7739315072a
121293582931254b
135866b1a2911b0
142475911666b7d
15103680a740295
hex77ce371f558b

131727571768715 has 32 divisors (see below), whose sum is σ = 174408491670336. Its totient is φ = 94890146365440.

The previous prime is 131727571768669. The next prime is 131727571768759. The reversal of 131727571768715 is 517867175727131.

It is not a de Polignac number, because 131727571768715 - 224 = 131727554991499 is a prime.

It is a super-4 number, since 4×1317275717687154 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16059584 + ... + 22833426.

It is an arithmetic number, because the mean of its divisors is an integer number (5450265364698).

Almost surely, 2131727571768715 is an apocalyptic number.

131727571768715 is a deficient number, since it is larger than the sum of its proper divisors (42680919901621).

131727571768715 is a wasteful number, since it uses less digits than its factorization.

131727571768715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6781199.

The product of its digits is 121010400, while the sum is 68.

The spelling of 131727571768715 in words is "one hundred thirty-one trillion, seven hundred twenty-seven billion, five hundred seventy-one million, seven hundred sixty-eight thousand, seven hundred fifteen".

Divisors: 1 5 13 41 65 205 533 2665 7297 36485 94861 299177 474305 1495885 3889301 6773843 19446505 33869215 88059959 277727563 440299795 1388637815 3610458319 18052291595 49428732371 247143661855 642573520823 2026578027211 3212867604115 10132890136055 26345514353743 131727571768715