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317612216713 = 112711012331571
BaseRepresentation
bin1001001111100110010…
…10011101000110001001
31010100210221102100002211
410213303022131012021
520200432211413323
6401524204025121
731642504204051
oct4476312350611
91110727370084
10317612216713
111127758a8400
125167b8321a1
1323c4890740c
1411530268561
1583dd9b870d
hex49f329d189

317612216713 has 48 divisors (see below), whose sum is σ = 359296269696. Its totient is φ = 280464800000.

The previous prime is 317612216693. The next prime is 317612216723.

317612216713 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 317612216713 - 213 = 317612208521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (317612216723) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 202171218 + ... + 202172788.

It is an arithmetic number, because the mean of its divisors is an integer number (7485338952).

Almost surely, 2317612216713 is an apocalyptic number.

It is an amenable number.

317612216713 is a deficient number, since it is larger than the sum of its proper divisors (41684052983).

317612216713 is a wasteful number, since it uses less digits than its factorization.

317612216713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1987 counting only the distinct ones).

The product of its digits is 63504, while the sum is 40.

The spelling of 317612216713 in words is "three hundred seventeen billion, six hundred twelve million, two hundred sixteen thousand, seven hundred thirteen".

Divisors: 1 11 71 101 121 233 781 1111 1571 2563 7171 8591 12221 16543 17281 23533 28193 78881 111541 158671 181973 190091 258863 366043 867691 1226951 1670843 1745381 2001703 2847493 4026473 11265641 13496461 18379273 19199191 25989053 36970343 44291203 123922051 202172003 285879583 406673773 1363142561 2624894353 3144675413 4473411503 28873837883 317612216713